¹Voronezh State Forestry Engineering University named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

²Voronezh State Technical University, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Mathematical modeling, differential equations, computer experiment, grid method, Runge-Kutta method, portable lightweight soundproof panel with diamond-shaped structure, sound insulation.

[1] Patent na poleznuyu model' RU 186420 U1. Oblegchennaya zvukoizoliruyuschaya panel' [Utility model patent RU 186420 U1. Lightweight soundproof panel]: № 2018136724 : zayavl. 17.10.2018 ; opubl. 21.01.2019 / A.A. Venevitin, V.F. Asminin, E.V. Druzhinina ; zayavitel' i patentoobladatel' FGBOU VO «VGLTU».

[2] Asminin, V.F. Snizhenie shuma pri mehanicheskoy obrabotke tonkostennyh stal'nyh konstrukciy primeneniem s'emnyh vibrodempfiruyuschih pokrytiy s magnitnoy fiksaciey [Noise reduction during machining of thin-walled steel structures using removable vibration-damping coatings with magnetic fixation: dissertation for the degree of Doctor of Technical Sciences]: special'nost' 05.26.01 – Ohrana truda (po otraslyam) : dis. … d-ra tehn. nauk / Asminin Viktor Fedorovich ; Baltiyskiy gosudarstvennyy tehnicheskiy universitet Voenmeh im. D.F. Ustinova. - Sankt-Peterburg, 2001. – 224 s.

[3] Sych, T.V. Sovershenstvovanie tehnologii akustiko-emissionnogo kontrolya na osnove konechno-elementnogo analiza akusticheskogo trakta [Improving the technology of acoustic emission control based on finite element analysis of the acoustic tract: dissertation for the degree of Candidate of Technical Sciences]: special'nost' 05.11.13 – Pribory i metody kontrolya prirodnoy sredy, veschestv, materialov i izdeliy : dis. … kand. tehn. nauk : zaschischena 22.11.2016 / Sych Tat'yana Viktorovna. – Tomsk, 2016. – 149 s.

[4] Rumshiskiy, L.Z. Matematicheskaya obrabotka rezul'tatov eksperimenta[Mathematical processing of experimental results: a reference guide]: spravochnoe rukovodstvo / L.Z. Rumshiskiy – M. : Nauka, 1971. – 192 s.

[5] Osmolovsky, D.S. Reducing noise from round woodworking machines by applying vibration damping friction pads between the saw blade and the clamping flange / D.S. Osmolovsky, V.F. Asminin, E.V. Druzhinina // Akustika. - 2019. - V. 32. - S. 138-140.

[6] Development and application of a portable lightweight sound suppresion panel to reduce noise at permanent and temporary workplaces in the manufacturing and repair workshops / V.F. Asminin, E.V. Druzhinina, D.S. Osmolovsky, S.A. Sazonova // Akustika. - 2019. - V. 34. - S. 20-23.

[7] Investigation of parameters influencing noise barrier efficiency / N. Tyurina, N. Ivanov, A. Shashurin, S. Bortsova // «Advances in Acoustics, Noise and Vibration – 2021» Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. - V. 27. - 2021.

[8] Ivanov, N. The method of sequential transformation of the sound fields / N. Ivanov, G. Kurtsev, A. Shashurin // Akustika. 2021. - V. 39. - S. 143-149.

[9] Butorina, M. Noise reduction at workplace in construction / M. Butorina, N. Ivanov, A. Troshchinina // Akustika. 2021. - V. 41. - S. 94-99.

[10] Determination of noise emission data of construction sites / I.E. Tsukernikov, I.L. Shubin, N.I. Ivanov [et al.] // Proceedings of Meetings on Acoustics. Сер. «Proceedings of Meetings on Acoustics - ICA 2013» 2013. - S. 040085.

[11] Experimental study of noise barriers / N.V. Tyurina, N.N. Minina, A.E. Shashurin, M.G. Goguadze // Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. - 2019.

[12] Rassoshenko, I. Theoretical principles for efficiency calculations for the noise barriers along high-speed railways / I. Rassoshenko, N. Ivanov, A. Shashurin // 25th International Congress on Sound and Vibration 2018, ICSV 2018: Hiroshima Calling. 25, Hiroshima Calling. - 2018. - S. 3963-3968.

[13] Shashurin, A.E. A refined theory of traffic and technological barriers / A.E. Shashurin // 25th International Congress on Sound and Vibration 2018, ICSV 2018: Hiroshima Calling. 25, Hiroshima Calling. - 2018. - S. 4086-4090.

[14] Shashurin, A.E. The efficiency of the noise barrier installed on the acoustically untreated gallery / A.E. Shashurin // Magazine of Civil Engineering. - 2018. - № 6 (82). - S. 199-207.

[15] High-speed train noise source height influence on efficiency of noise barriers / N. Ivanov, A. Shashurin, I. Boiko [et al.] // 24th International Congress on Sound and Vibration, ICSV 2017. - 2017.

[16] Ivanov, N.I. The problem of high-speed railway noise prediction and reduction / N.I. Ivanov, I.S. Boiko, A.E. Shashurin // Proceedings of the International Scientific Conference Transportation Geotechnics and Geoecology (TGG-2017). Сер. «Procedia Engineering» 2017. - Pp. 539-546.

[17] Tyurina, N.V. Investigation of acoustical barriers for transport noise control / N.V. Tyurina, N.I. Ivanov, A.E. Shashurin // 22nd International Congress on Sound and Vibration, ICSV 2015. - V. 22. - 2015.

[18] Analysis of the experimental study of the axle lathe machine vibroacoustic characteristics for workplace noise reduction / A. Shashurin, K. Buzhinskiy, M. Goguadze, E. Yuriy // Akustika. - 2019. - V. 34. - S. 106-108.

[19] Shashurin, A. Regression analysis of the coefficients of the loss of vibrational energy when calculating the noise from ossetian and boring machines / A. Shashurin, M. Goguadze, A. Chukarin // Akustika. - 2019. - V. 34. - S. 95-99.

[20] Acoustic reliability of the noise barriers / A. Shashurin, N. Ivanov, I. Rassoshenko, M. Goguadze // Akustika. - 2019. - V. 32. - S. 251-255.

[21] Shashurin, A. Experimental studies on the noise and vibration of a special boring machine due to formation of the operator's worlplace sound field / A. Shashurin, M. Goguadze, A. Lubianchenko // Akustika. - 2019. - V. 34. - S. 100-103.

[22] Minina, N.N. Sound attenuation provided by barriers installed at flyovers / N.N. Minina, N.V. Tyurina, N.I. Ivanov // 19th International Congress on Sound and Vibration 2012, ICSV 2012. - 2012. - S. 1554-1557.

[23] Asminin, V.F. Eksperimental'noe obosnovanie konstrukcii oblegchennoy paneli dlya perenosnyh akusticheskih ekranov [Experimental substantiation of the lightweight panel design for portable acoustic screens]/ V.F. Asminin, A.V. Boluchevskiy, V.N. Mel'kumov // Nauchnyy vestnik Voronezhskogo gosudarstvennogo arhitekturno-stroitel'nogo universiteta. Stroitel'stvo i arhitektura. - 2012. - № 4 (28). - S. 114-119.

[24] Asminin, V.F. Ocenka akusticheskoy effektivnosti ekranov s izmenyaemym profilem otrazhayuschey poverhnosti [Evaluation of the acoustic efficiency of screens with a variable profile of the reflecting surface]/ V.F. Asminin, I.A. Malyavko // Matematicheskoe modelirovanie, komp'yuternaya optimizaciya tehnologiy, parametrov oborudovaniya i sistem upravleniya lesnogo kompleksa : mezhvuzovskiy sbornik nauchnyh statey. - Voronezh, 2006. - S. 121-125.

[25] Svidetel'stvo o registracii programmy dlya EVM 2021663260. Programma dlya issledovaniya zvukopogloschayuschih svoystv oblegchennoy zvukoizoliruyuschey paneli s gofrirovannoy rombovidnoy strukturoy [A program for the study of sound-absorbing properties of a lightweight soundproof panel with a corrugated diamond-shaped structure] : zazayavl. 04.08.2021 ; opubl. 13.08.2021 / V.F. Asminin, E.V. Druzhinina, V.V. Posmet'ev ; zayavitel' i patentoobladatel' FGBOU VO «VGLTU».

[26] Teoreticheskoe issledovanie processov vozbuzhdeniya vibraciy i shumoobrazovaniya shlifoval'nyh krugov rez'bo- i shliceshlifoval'nyh stankov [Theoretical study of the processes of vibration excitation and noise generation of grinding wheels of thread- and slot-grinding machines]/ Zh.P. Razakov, A.E. Shashurin, P.S. Kurchenko, N.I. Ivanov // Akustika. - 2021. - V. 38. - S. 1801.

[27] Kuz'menko, V.Yu. Perenosnaya oblegchennaya zvukoizoliruyuschaya panel' s gofrirovannoy rombovidnoy strukturoy (poz) dlya snizheniya shuma na postoyannyh i vremennyh rabochih mestah v cehah proizvodstvennyh i remontnyh predpriyatiy [Portable lightweight soundproof panel with a corrugated diamond-shaped structure (pos) to reduce noise at permanent and temporary workplaces in the workshops of manufacturing and repair enterprises]/ V.Yu. Kuz'menko, E.V. Druzhinina, V.F. Asminin // Bezopasnost' i ohrana truda – 2018 : sbornik trudov mezhdunarodnoy molodezhnoy konferencii. - 2018. - S. 33-36.

[28] Asminin, V.F. Obosnovanie konstrukcii oblegchennoy paneli dlya perenosnyh akusticheskih ekranov [Justification of the design of a lightweight panel for portable acoustic screens]/ V.F. Asminin, E.V. Druzhinina, A.V. Boluchevskiy // Aktual'nye napravleniya nauchnyh issledovaniy XXI veka: teoriya i praktika. - 2017. - V. 5, № 1 (27). - S. 21-26.

¹Voronezh State Forestry Engineering University named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.,This email address is being protected from spambots. You need JavaScript enabled to view it.

²Voronezh State Technical University, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Mathematical modeling, structure of the sound field of premises, speech fire alerts, intelligibility of the speech signal, sound energy density, direct sound, reflected energy, background noise.

[1] Man'kovskiy, V.S. Akustika studiy i zalov dlya zvukovosproizvedeniya [Acoustics of studios and halls for sound reproduction] / V.S. Man'kovskiy. – M.: Iskusstvo, 1966. – 376 s.

[2] Asminin, V.F. The method of sound designing of a single voice fire alarm / V.F. Asminin, A.I. Antonov, S.N. Kuznetsov // Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture. - 2014. - № 2 (22). - S. 67-75.

[3] Golovko, A. Measurement method of the reflected from highways noise in urban buildings / A. Golovko, V. Ledenev, A. Antonov // Advances in Intelligent Systems and Computing. - 2020. - V. 1116. - S. 100-109. - DOI: 10.1007/978-3-030-37919-3_11.

[4] Golovko, A. Measurement method of non-continuous noise in industrial buildings of railway enterprises / A. Golovko, V. Ledenev, A. Antonov // Advances in Intelligent Systems and Computing. - 2020. - V. 1116. - S. 237-248. - DOI: 10.1007/978-3-030-37919-3_23.

[5] Coupling coefficient of flux density and density gradient of reflected sound energy in quasi-diffuse sound fields / A.I. Antonov, V.I. Ledenev, T.O. Nevenchannaya [et al.] // Journal of Theoretical and Computational Acoustics. - 2019. - V. 27, № 2. - S. 1850053. - DOI: 10.1142/S2591728518500536.

[6] Giyasov, B.I. Method for noise calculation under specular and diffuse reflection of sound / B.I. Giyasov, V.I. Ledenyov, I.V. Matveeva // Magazine of Civil Engineering. - 2018. - № 1 (77). - S. 13-22. - DOI: 10.18720/MCE.77.2.

[7] Coupling coefficient for flux density and density gradient of reflected sound energy in quasidiffuse sound fields / A. Antonov, V. Ledenev, I. Shubin [et al.] // 13th International Conference on Theoretical and Computational Acoustics, ICTCA 2017. - 2013. - V. 2017. - S. 244.

[8] Noise calculation method for industrial premises with bulky equipment at mirror-diffuse sound reflection / I. Tsukernikov, I. Shubin, A. Antonov [et al.] // Proceedings of the 3rd International Conference on Dynamics and Vibroacoustics of Machines, DVM 2016. Сер. "Procedia Engineering" 2017. – 2017. - S. 218-225.

[9] Antonov, A.I. The combined method of calculation of noise conditions in industrial buildings of thermal power stations / A.I. Antonov, V.I. Ledenev, Ye.O. Solomatin // Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture. - 2012. - № 1 (13). - S. 7-16.

[10] Calculation of noise regime in urban development taking into account sound reflection from building facades / A. Grechishkin, A. Antonov, A. Putintseva, A. Nilas // International Scientific Siberian Transport Forum TransSiberia - 2021. Lecture Notes in Networks and Systems. - 2022. – Vol. 2. – Pp. 1433-1442.

[11] Calculations for evaluating the acoustic efficiency of measures to reduce pulse noise in industrial premises / A. Antonov, I. Matveeva, I. Shubin, I. Tsukernikov // Akustika. - 2021. - V. 41. - S. 45-51.

[12] Non-constant noise calculation using the room response function / A. Antonov, V. Ledenev, N. Merkusheva [et al.] // Proceedings of 2020 International Congress on Noise Control Engineering, INTER-NOISE 2020. 49, Advances in Noise and Vibration Control Technology. - 2020.

[13] Calculation of impulse noise with mirror-diffuse reflection of sound from fences / A. Antonov, I. Matveeva, I. Shubin, I. Tsukernikov // Akustika. 2019. - V. 34. - S. 90-105.

[14] Epifanov, E.N. Obespechenie razborchivosti rechevogo soobscheniya, peredavaemogo sistemoy opovescheniya pri pozhare: monografiya [Ensuring the intelligibility of the speech message transmitted by the fire alarm system: monograph] / E.N. Epifanov, V.F. Asminin. - Voronezh, 2022. - 189 s.

[15] Rol' rechevogo opovescheniya i analiz ego kachestvennyh harakteristik, vliyayuschih na obespechenie uspeshnoy evakuacii lyudey pri pozhare [The role of voice notification and analysis of its qualitative characteristics affecting the successful evacuation of people in case of fire]/ V.F. Asminin, E.N. Epifanov, A.I. Antonov, V.Ya. Manohin // Nauchnyy vestnik Voronezhskogo gosudarstvennogo arhitekturno – stroitel'nogo universiteta. Stroitel'stvo i arhitektura. – 2012. – № 4(28). – S.142–149.

[16] Metodika akusticheskogo proektirovaniya odinochnogo pozharnogo rechevogo opoveschatelya [Themethodofacousticdesignofasinglefirealarmsystem] / V.F. Asminin, E.N. Epifanov, A.I. Antonov, S.N. Kuznecov // Nauchnyy vestnik Voronezhskogo gosudarstvennogo arhitekturno – stroitel'nogo universiteta. Stroitel'stvo i arhitektura. – 2013. – № 3 (28). – S.121–127.

[17] Asminin, V.F. Ispol'zovanie akusticheskih harakteristik rechevyh pozharnyh opoveschateley dlya rascheta zvukovyh poley pomescheniy [The use of acoustic characteristics of speech fire alarms for the calculation of sound fields of premises]/ V.F. Asminin, A.I. Antonov, E.N. Epifanov // Tehnologii tehnosfernoy bezopasnosti. - 2014. - № 1 (53). - S. 13.

[18] Asminin, V.F. Analiz metodik razmescheniya opoveschateley sistem opovescheniya i upravleniya evakuaciey lyudey pri pozhare [Analysis of methods of placement of alarm systems and evacuation management systems in case of fire] / V.F. Asminin, A.I. Antonov, E.N. Epifanov // Pozharnaya bezopasnost': problemy i perspektivy. - 2014. - T. 1, № 1 (5). - S. 232-234.

[19] Asminin, V.F. Programmnyy kompleks akusticheskogo proektirovaniya razmescheniya rechevyh pozharnyh opoveschateley v pomescheniyah [Software package for acoustic design of placement of speech fire alarms in the premises]/ V.F. Asminin, A.I. Antonov, E.N. Epifanov // Kompleksnye problemy tehnosfernoy bezopasnosti : sbornik materialov Mezhdunarodnoy nauchno-prakticheskoy konferencii. – Voronezh, 2014. - S. 42-46.

[20] Svidetel'stvo o registracii programmy dlya EVM RU 2014612211. Programma dlya akusticheskogo proektirovaniya rechevyh opoveschateley sistemy opovescheniya i upravleniya evakuaciey lyudey pri pozhare[A program for acoustic design of speech annunciators of the warning system and evacuation management in case of fire] : zayavl. 2013662204 ; opubl. 26.12.2013 / E.N. Epifanov, A.I. Antonov, V.F. Asminin, O.V. Baklanova ; zayavitel' i patentoobladatel' Epifanov E.N.

[21] Sazonova, S.A. Operativno-takticheskaya harakteristika torgovogo razvlekatel'nogo centra na moment vozniknoveniya vozmozhnogo pozhara[Operational and tactical characteristics of a shopping and entertainment center at the time of a possible fire] / S.A. Sazonova, V.F. Asminin, I.M. Kazbanova // Tehnosfernaya bezopasnost': nauchnye tendencii, metody, sredstva obespecheniya i special'noe obrazovanie : sbornik materialov Vserossiyskoy nauchno-prakticheskoy konferencii. - Voronezh, 2022. - S. 86-92.

[22] Modelirovanie vozmozhnoy obstanovki pri pozhare na ob'ektah s massovym prebyvaniem lyudey [Modeling of a possible situation in case of a fire at objects with a mass stay of people]/ S.A. Sazonova, E.N. Epifanov, V.F. Asminin [i dr.] // Modelirovanie sistem i processov. - 2022. - T. 15, № 1. - S. 85-96. - DOI: 10.12737/2219-0767-2022-15-1-85-96.

[23] Sazonova, S.A. Modelirovanie variantov razvitiya pozhara na ob'ekte massovogo prebyvaniya lyudey [Modeling of variants of fire development at the object of mass stay of people] / S.A. Sazonova, T.V. Zyazina, V.A. Goryunov // Modelirovanie sistem i processov. - 2022. - T. 15, № 4. - S. 69-81. - DOI: 10.12737/2219-0767-2022-15-4-69-81.

[24] Chislennye metody rascheta shuma v nesorazmernyh pomescheniyah grazhdanskih zdaniy [Numerical methods for calculating noise in disproportionate rooms of civil buildings]/ A.I. Antonov, V.P. Gusev, V.I. Ledenev [i dr.] // Zhilischnoe stroitel'stvo. - 2023. - № 6. - S. 18-22.

[25] Maksimal'nyy uroven' impul'snogo zvuka v pomescheniyah i predlozheniya po ego raschetu[The maximum level of pulsed sound in the premises and suggestions for its calculation] / A.I. Antonov, V.I. Ledenev, I.V. Matveeva, M.A. Porozhenko // Zhilischnoe stroitel'stvo. - 2022. - № 7. - S. 13-17.

[26] Eksperimental'naya ocenka tochnosti kombinirovannogo metoda rascheta shuma v pomescheniyah s rasseivayuschimi zvuk predmetami [Experimental evaluation of the accuracy of the combined method for calculating noise in rooms with sound-scattering objects] / A.I. Antonov, V.I. Ledenev, I.V. Matveeva, I.L. Shubin // Izvestiya vysshih uchebnyh zavedeniy. Tehnologiya tekstil'noy promyshlennosti. - 2019. - № 3 (381). - S. 219-224.

[27] Metodika ocenki koefficientov zvukopogloscheniya v proizvodstvennyh pomescheniyah s tehnologicheskim oborudovaniem [Methodology for evaluating sound absorption coefficients in industrial premises with technological equipment]/ V.I. Ledenev, A.M. Makarov, I.V. Matveeva, I.L. Shubin // Izvestiya vysshih uchebnyh zavedeniy. Tehnologiya tekstil'noy promyshlennosti. - 2017. - № 2 (368). - S. 249-254.

[28] Ocenka energeticheskih parametrov rechi na osnove impul'snoy harakteristiki pomescheniya [Evaluation of the energy parameters of speech based on the impulse response of the room]/ I.L. Shubin, A.I. Antonov, I.V. Matveeva, T.S. Yarovaya // Academia. Arhitektura i stroitel'stvo. - 2023. - № 1. - S. 108-114.

[29] Raschetnye modeli izlucheniya zvuka tochechnymi istochnikami shuma promyshlennyh predpriyatiy [Computational models of sound emission by point noise sources of industrial enterprises] / V.P. Gusev, A.I. Antonov, E.O. Solomatin, A.M. Makarov // Izvestiya vysshih uchebnyh zavedeniy. Tehnologiya tekstil'noy promyshlennosti. - 2019. - № 3 (381). - S. 191-196.

[30] Shubin, I.L. O vozmozhnosti rascheta shuma v decibelah "a" v mestah massovogo prebyvaniya lyudey [About the possibility of calculating noise in decibels "a" in places of mass stay of people]/ I.L. Shubin, A.I. Antonov, T.S. Yarovaya // Stroitel'stvo i rekonstrukciya. - 2018. - № 3 (77). - S. 83-88.

[31] Antonov, A.I. Metod rascheta nestacionarnyh shumovyh poley i nesorazmernyh pomescheniyah i pomescheniyah slozhnyh form [Method of calculation of non-stationary noise fields in disproportionate rooms and rooms of complex shapes] / A.I. Antonov, A.V. Bacunova, O.B. Demin // Academia. Arhitektura i stroitel'stvo. –2010. – S. 183–185.

[32] Antonov, A.I. Metody avtomatizirovannogo proektirovaniya ograzhdayuschih konstrukciy proizvodstvennyh zdaniy po usloviyam zaschity ot shuma[Methods of computer-aided design of enclosing structures of industrial buildings in terms of noise protection]: special'nost' 05.23.01 – Stroitel'nye konstrukcii, zdaniya i sooruzheniya : avtoref. dis. … kand. tehn. nauk / Antonov Aleksandr Ivanovich. – M., 1989. – 23 s.

[33] Antonov, A.I. Raschety urovney pryamogo zvuka ot lineynyh istochnikov shuma, raspolagayuschihsya na promyshlennyh predpriyatiyah i v gorodskoy zastroyke [Calculations of direct sound levels from linear noise sources located at industrial enterprises and in urban development]/ A.I. Antonov, V.I. Ledenev, E.O. Solomatin // Vestnik Volgogradskogo Gosudarstvennogo Arhitekturno–Stroitel'nogo Universiteta. Seriya: Stroitel'stvo i arhitektura. – 2013. – № 31-1(50). – S. 329–335.

[34] Metody rascheta urovney pryamogo zvuka, izluchaemogo ploskimi istochnikami shuma v gorodskoy zastroyke [Methods for calculating the levels of direct sound emitted by flat noise sources in urban development]/ A.I. Antonov, V.P. Gusev, V.I. Ledenev, E.O. Solomatin // Zhilischnoe stroitel'stvo. – 2013. – № 6. – S. 13–16.

[35] Shihalev, D.V. Sistemy upravleniya evakuaciey v zdaniyah torgovo-razvlekatel'nyh centrov [Evacuation control systems in buildings of shopping and entertainment centers]/ D.V. Shihalev, R.Sh. Habibulin // Pozharovzryvobezopasnost'. – 2013. – T. 22, № 6. – S. 61–64.

¹JSC «Scientific Research Institute of Electronic Technology», This email address is being protected from spambots. You need JavaScript enabled to view it.

²JSC «United Rocket and Space Corporation», cрThis email address is being protected from spambots. You need JavaScript enabled to view it.

³JSC «Micron», This email address is being protected from spambots. You need JavaScript enabled to view it.

⁴Voronezh State Forestry Engineering University named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевыеслова— XCELIUM simulator, SimVision, RTL (Register Transfer Level), computer-aided design system (CAD), Cadence, System Verilog, Tool Command Language (TCL).

[1] Analiz problem modelirovaniya elementov KMOP BIS[Analysis of problems in modeling CMOS LSI elements] / V.K. Zol'nikov, S.A. Evdokimova, A.V. Fomichev [i dr.] // Modelirovanie sistem i processov. – 2018. – T. 11, № 4. – S. 20-25.

[2] Proektirovanie interfeysov sboeustoychivyh mikroshem [Design of interfaces for fault-tolerant microcircuits] / V.K. Zol'nikov, N.V. Mozgovoy, S.V. Grechanyy [i dr.] // Modelirovanie sistem i processov. – 2020. – T. 13, № 1. – S. 17-24.

[3] The performance and energy efficiency potential of FPGAs in scientific computing / T. Nguyen [et al.] // 2020 IEEE/ACM Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems (PMBS). – IEEE, 2020. – С. 8-19.

[4] Corperation A. Cyclone IV FPGA Device Family Overview // Cyclone IV Device Handbook. – 2013. – Т. 1.

[5] Vtr 8: High-performance cad and customizable FPGA architecture modelling / K.E. Murray [et al.] // ACM Transactions on Reconfigurable Technology and Systems (TRETS). – 2020. – Т. 13, №. 2. – С. 1-55.

[6] Kalms, L. HiFlipVX: an Open Source High-Level Synthesis FPGA Library for Image Processing / L. Kalms, A. Podlubne, D. Göhringer // Lecture Notes in Computer Science. – 2019. - Vol. 11444. - Pp. 149-164.

[7] Introduction of rapid prototyping in solving applied problems in production / V.A. Brykin, A.P. Voroshilin, P.A. Uhov, A.V. Ripetskiy // Periodico Tche Quimica. - 2020. -Т. 17, № 35. - Pp. 354-366.

[8] An overview of today’s high-level synthesis tools / W. Meeus [et al.] // Design Automation for Embedded Systems. – 2012. - Vol. 16. - Pp. 31-51.

[9] Daoud, L. A survey of high level synthesis languages, tools, and compilers for reconfigurable high performance computing / L. Daoud, D. Zydek, H. Selvaraj // Advances in Intelligent Systems and Computing. – 2014. - Vol. 240. - Pp. 483-492.

[10] A survey and evaluation of FPGA high-level synthesis tools / R. Nane [et al.] // IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. – 2016. - Vol. 35, is. 10. - Pp. 1591-1604.

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[14] Development and modeling of schematic diagram for the modular reduction device / S.T. Tynymbayev, Y.Zh. Aitkhozhayeva, S. Adilbekkyzy [et al.] // Problems of Informatics. – 2019. - No. 4. - Pp. 42-52.

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[18] Bluespec Compiler. – URL: https://github.com/B-Lang-org/bsc(data obrascheniya: 02.11.2022).

[19] IDCT algorithm implementations. – URL: https://github.com/ispras/hls-idct(data obrascheniya: 02.11.2022).

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¹Voronezh State University of Engineering Technologies, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Artificial intelligence, neural networks, machine learning, ANN learning methods, ECG classification ANN, cardiovascular diseases.

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[6] Onischenko, P.S. Iskusstvennye neyronnye seti v kardiologii: analiz graficheskih dannyh [Artificial neural networks in cardiology: analysis of graphical data] / P.S. Onischenko, K.Yu. Klyshnikov, E.A. Ovcharenko // Byulleten' sibirskoy mediciny. – 2021. – T. 20, № 4. – S. 193-204. – DOI: 10.20538/1682-0363-2021-4-193-204.

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[10] Smartfon v medicine — ot spravochnika k diagnosticheskoy sisteme. Obzor sovremennogo sostoyaniya voprosa [Smartphone in medicine - from a reference book to a diagnostic system. Review of the current state of the issue] / A.A. Fedorovich, A.Yu. Gorshkov, A.I. Korolev, O.M. Drapkina // Kardiovaskulyarnaya terapiya i profilaktika. – 2022. - № 21(9). – S. 3298. – DOI: 10.15829/1728-8800-2022-3298.

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[12] Baza dannyh MIT-BIH Arrythmia Database [MIT-BIH Arrythmia Database]. – URL: https://physionet.org/content/ptbdb/1.0.0/(data obrascheniya: 10.04.2023).

[13] Pieszko, K. Predicting Long-Term Mortality after Acute Coronary Syndrome Using Machine Learning Techniques and Hematological Markers / K. Pieszko, J. Hiczkiewicz, P. Budzianowski // Dis Markers. – 2019. – Vol. 1. – C. 9056402. – DOI: 10.1155/2019/9056402.

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[15] Fractional flow reserve or coronary flow reserve for the assessment of myocardial perfusion: Implications of FFR as an imperfect reference standard for myocardial ischemia / V.E. Stegehuis, G.W. Wijntjens, J.J. Piek, T.P. van de Hoef // Current Cardiology Reports. – 2018. – Vol. 20(9). – C. 77. - DOI: 10.1007/s11886-018- 1017-4.

[16] Deep learning analysis of left ventricular myocardium in CT angiographic intermediate-degree coronary stenosis improves the diagnostic accuracy for identification of functionally significant stenosis / R.W. van Hamersvelt, M. Zreik, M. Voskuil [et al.] // European Radiology. – 2019. – Vol. 29(5). – Pp. 2350-2359. – DOI: 10.1007/s00330-018-5822-3.

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[18] Deep learning-based muscle segmentation and quantification at abdominal CT: Application to a longitudinal adult screening cohort for sarcopenia assessment / P.M. Graffy, J. Liu, P.J. Pickhardt [et al.] // The British Journal of Radiology. – 2019. – Vol. 92(1100). – Pp. 2921-2928. – DOI: 10.1259/bjr.2019032.

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[25] Saymon, D. Karmannyy spravochnik po EKG [Pocket Guide to ECG] / D. Saymon. – M. : GEOTAR Media Rossiya, 2020. – 192 s.

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[29] Program Development for Choosing a Surgical Treatment Option and Mathematical Prediction of Findings in Patients with Postoperative Median Abdominal Hernias / D.V. Arapov, E.F. Cherednikov, S.A. Skorobogatov [et al.] // International Journal of Biomedicine. – 2022. – Vol. 12, No. 2. – P. 303-307. – DOI: 10.21103/Article12(2)_OA19.

[30] Information system for diagnosis of respiratory system diseases / G.V. Abramov, L.A. Korobova, A.L. Ivashin, I.A. Matytsina // Journal of Physics: Conference Series. – 2018. - Vol. 1015, 4. –P. 042036. – DOI: 10.1088/1742-6596/1015/4/042036.

[31] Razrabotka modulya diagnostiki informacionnoy sistemy monitoringa zdorov'ya bol'nyh legochnymi zabolevaniyami [Development of a diagnostic module for an information system for monitoring the health of patients with pulmonary diseases] / G.V. Abramov, L.A. Korobova, A.L. Ivashin, I.A. Matycina // Vestnik Ryazanskogo gosudarstvennogo radiotehnicheskogo universiteta. – 2018. – № 65. – S. 136-142. – DOI: 10.21667/1995-4565-2018-65-3-136-142.

[32] Korobova, L.A. Razrabotka medicinskoy ekspertnoy sistemy diagnostiki zabolevaniy s ispol'zovaniem elementov teorii mnozhestv [Development of a medical expert system for diagnosing diseases using elements of set theory] / L.A. Korobova, E.S. Malienko, Yu.A. Safonova // Ekonomika i menedzhment sistem upravleniya. – 2017. – № 4-1(26). – S. 172-178.

[33] Korobova, L.A. Razrabotka modeli prinyatiya resheniya dlya postanovki diagnoza zabolevaniy na osnove nechetkoy logiki [Development of a decision-making model for diagnosing diseases based on fuzzy logic] / L.A. Korobova, T.V. Gladkih // Vestnik Voronezhskogo gosudarstvennogo universiteta inzhenernyh tehnologiy. – 2018. – T. 80, № 4(78). – S. 80-89. – DOI: 10.20914/2310-1202-2018-4-80-89.

[34] Korobova, L.A. Razrabotka modulya medicinskoy informacionnoy sistemy dlya diagnostiki legochnyh zabolevaniy [Development of a medical information system module for the diagnosis of pulmonary diseases] / L.A. Korobova, I.A. Matycina // Vestnik NGIEI. – 2018. – № 10(89). – S. 13-28.

[35] Prototype mobile application definitions fresh products based on neural network / L.A. Korobova, I.S. Tolstova, I.A. Matytsina, M.S. Mironova // Journal of Physics: Conference Series. - 2021. – Vol. 1902. – P. 012118. – DOI: 10.1088/1742-6596/1902/1/012118.

¹Voronezh State Technical University, This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Mathematical modeling, thermal power hydraulic system, heat supply system, undisturbed state of the system, flow distribution analysis, energy equalization, variational principle.

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[14] Dust control of workplaces from bulk materials / S.A. Sazonova, S.D. Nikolenko, E. Vysotskaya [et al.] // AIP Conference Proceedings. Proceedings of the III International Conference on Advanced Technologies in Materials Science, Mechanical and Automation Engineering. - 2021. - P. 060028. - DOI: 10.1063/5.0072036.

[15] Control of the formation of defects in brickwork of buildings / S. Sazonova, S. Nikolenko, S. Dorokhin, D. Sysoev // AIP Conference Proceedings. - 2022. - V. 2467- P. 020023. - DOI: 10.1063/5.0093524.

[16] Weld defects and automation of methods for their detection / S.A. Sazonova, S.D. Nikolenko, A.A. Osipov [et al.] // IOP Conference Series. Krasnoyarsk Science and Technology City Hall. Krasnoyarsk, Russian Federation, 2021. - P. 22078. - DOI: 10.1088/1742-6596/1889/2/022078.

[17] Evaluation of the effect of fermentation conditions on the functional and technological characteristics of the semifinished meat product / Yu.A. Safonova, A.V. Skrypnikov, E.N. Kovaleva [et al.] // IOP Conference Series: Earth and Environmental Science. International Conference on Production and Processing of Agricultural Raw Materials (P2ARM 2021). - 2022. - P. 012049. - DOI: 10.1088/1755-1315/1052/1/012049.

[18] Example of integrating e-learning platforms with social network for create effective training courses / O.Y. Lavlinskaya, O.V. Kuripta, F.A. Desyatirikov [et al.] // Proceedings of the 2022 Conference of Russian Young Researchers in Electrical and Electronic Engineering, ElConRus 2022. - 2022. - Pp. 48-52. - DOI: 10.1109/ElConRus54750.2022.9755510.

[19] Development of an operational quality management application for the production process / Yu.A. Safonova, A.V. Lemeshkin, A.N. Pegina, S.S. Rylev // AIP Conference Proceedings. Krasnoyarsk Scientific Centre of the Siberian Branch of the Russian Academy of Sciences. Melville, New York, United States of America. - 2021. - P. 70031. -DOI: 10.1063/5.0071375.

[20] Study of the production process of extruded feed and evaluation of the quality of the resulting product using software methods / E.N. Kovaleva, Yu.A. Safonova, A.V. Lemeshkin [et al.] // IOP Conference Series: Earth and Environmental Science. International Conference on Production and Processing of Agricultural Raw Materials (P2ARM 2021). - 2022. - P. 012139. -. DOI: 10.1088/1755-1315/1052/1/012139.

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[26] Methods of multi-criteria optimization in problems of simulation of trucking industry / S.V. Belokurov, V.P. Belokurov, V.K. Zolnikov, O.N. Cherkasov // Transportation Research Procedia. 12th International Conference "Organization and Traffic Safety Management in Large Cities", SPbOTSIC 2016. - 2017. - Pp. 47-52. - DOI: 10.1016/j.trpro.2017.01.010.

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[31] Safonova, Y.A. Chickpea seeds germination rational parameters optimization / Y.A. Safonova, M.N. Ivliev, A.V. Lemeshkin // Journal of Physics: Conference Series. "International Conference Information Technologies in Business and Industry 2018 - Microprocessor Systems and Telecommunications". - 2018. - P. 032118. - DOI: 10.1088/1742-6596/1015/3/032118.

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[33] Software tools for assessing the environmental safety of city filling stations/ O.V. Kuripta, Yu.A. Vorobieva, K.V. Garmonov [et al.] // International scientific and practical conference "Ensuring sustainable development in the context of agriculture, green energy, ecology and earth science" 25 January 2021, Smolensk, Russian Federation. London, 2021. - P. 042051. - DOI: 10.1088/1755-1315/723/4/042051.

[34] Verification methods for complex-functional blocks in CAD for chips deep submicron design standards / V. Zolnikov, K. Zolnikov, N. Ilina, K. Grabovy // E3S Web of Conferences. – 2023. – V. 376. - P. 01090.

[35] Environmental impact consideration in the measures to improve the builders of different specialties working conditions / S.A. Sazonova, V.K. Zolnikov, K.V. Zolnikov [et al.] // E3S Web of Conferences. – 2023. – V. 389. – P. 02007. - DOI: 10.1051/e3sconf/202338902007.

¹Voronezh State Technical University, This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Electrophysical-chemical processing, shaped surfaces, combined tools, computer modeling, computer-aided design systems.

[1] Spravochnik po elektrohimicheskim i elektrofizicheskim metodam obrabotki [Handbook of electrochemical and electrophysical processing methods] / G. L. Amitan, I. A. Baysupov, Yu. M. Baron [i dr.]. – L. : Mashinostroenie, 1988. – 719 s.

[2] Elektrofizicheskie i elektrohimicheskie metody obrabotki materialov [Electrophysical and electrochemical methods of processing materials]. V 2-h t. T. 1. Obrabotka materialov s primeneniem instrumenta [Processing of materials using tools] ; pod red. Smolenceva V.P. – M. : Vysshaya shkola, 1983. – 456 s.

[3] Smolencev, V.P. Sostoyanie i razvitie elektrofizicheskih, elektrohimicheskih i kombinirovannyh metodov obrabotki [State and development of electrophysical, electrochemical and combined processing methods] / V. P. Smolencev // Innovacii v mashinostroenii (InMash - 2021) : sbornik trudov HII Mezhdunarodnoy nauchno-prakticheskoy konferencii, posvyaschennoy pamyati doktora tehnicheskih nauk, professora Rahimyanova Harisa Magsumanovicha, Novosibirsk, 07–09 oktyabrya 2021 goda. – Novosibirsk, 2021. – S. 164-185.

[4] Spravochnik tehnologa [Technologist’s Handbook] / A.G. Suslov, V.F. Bez'yazychnyy, B.M. Bazrov [i dr.]. – Moskva : Izdatel'stvo "Innovacionnoe mashinostroenie", 2019. – 800 s.

[5] Osnovy avtomatizacii proizvodstvennyh processov v mashinostroenii [Fundamentals of automation of production processes in mechanical engineering] / O.N. Kirillov, V.P. Smolencev, S.S. Yuhnevich, A.Yu. Ryazancev. – Voronezh : Izdatel'sko-poligraficheskiy centr "Nauchnaya kniga", 2022. – 186 s.

[6] Kuzovkin, A.V. Proektirovanie, izgotovlenie i primenenie kombinirovannogo instrumenta dlya formirovaniya krivolineynyh poverhnostey [Design, manufacture and application of a combined tool for the formation of curved surfaces] / A. V. Kuzovkin, A. P. Suvorov, Yu. S. Zolototrubova // Voronezhskiy nauchno-tehnicheskiy Vestnik. – 2021. – T. 2, № 2(36). – S. 35-41.

[7] Vas'kov, A.I. Poverhnosti klassa «A» v usloviyah melkoseriynogo proizvodstva [Class “A” surfaces in small-scale production] / A.I. Vas'kov, N.A. Gilev // Problemy kachestva graficheskoy podgotovki studentov v tehnicheskom vuze: tradicii i innovacii : sbornik materialov 7 mezhdunarodnoy nauchno-prakticheskoy konferencii. – Perm', 2017. – S. 447-452.

[8] Rushan, A.Z. O nekotoryh klassah ploskih krivyh c monotonnoy funkciey krivizny, ih esteticheskoy ocenke i prilozheniyah v promyshlennom dizayne [On some classes of plane curves with a monotonic curvature function, their aesthetic assessment and applications in industrial design] / A.Z. Rushan, I.N. Rifkat, T.M. Kendzhiro // Vestnik Moskovskogo aviacionnogo instituta. – 2013. – T. 20, № 2. – S. 209-218.

[9] Gosteva, K.V. Oblachnye tehnologii v mashinostroenii [Cloud technologies in mechanical engineering] / K.V. Gosteva, E.V. Smolencev // Sovremennye tehnologii proizvodstva v mashinostroenii : sbornik nauchnyh trudov. – Voronezh, 2017. – Vyp. 11. – S. 64-67.

[10] Bulenkov, E.A. Primenenie oblachnyh tehnologiy pri proektirovanii tehnologiy izgotovleniya detaley ugol'nogo mashinostroeniya [Application of cloud technologies in the design of manufacturing technologies for coal engineering parts] / E.A. Bulenkov, M.K. Kuznecov, T.A. Gaze // Innovacionnye perspektivy Donbassa : sbornik materialov 7-y Mezhdunarodnoy nauchno-prakticheskoy konferencii, Doneck, 24–26 maya 2021 goda.– Doneck: Doneckiy nacional'nyy tehnicheskiy universitet, 2021. – T. 3. – S. 104-106.

[11] Golov, R.S. Perspektivy vnedreniya oblachnyh tehnologiy v kontekste cifrovoy transformacii mashinostroitel'nyh predpriyatiy [Prospects for the implementation of cloud technologies in the context of digital transformation of machine-building enterprises] / R.S. Golov, V.V. Myl'nik // STIN. – 2022. – № 2. – S. 36-38.

[12] Aleshina, A.E. Novyy podhod k avtomatizacii proektirovaniya sredstv tehnologicheskogo osnascheniya dlya elektricheskih metodov obrabotki [A new approach to automating the design of technological equipment for electrical processing methods] / A.E. Aleshina, A.V. Kuzovkin, A.P. Suvorov // Voronezhskiy nauchno-tehnicheskiy Vestnik. – 2022. – T. 4, № 4(42). – S. 37-44.

[13] Suvorov, A.P. Issledovanie processa izgotovleniya kombinirovannogo elektroda-instrumenta dlya elektrohimicheskoy obrabotki v usloviyah edinichnogo i opytnogo proizvodstva [Study of the manufacturing process of a combined electrode-tool for electrochemical processing in conditions of single and pilot production] / A.P. Suvorov, A.V. Kuzovkin // Vestnik Voronezhskogo gosudarstvennogo tehnicheskogo universiteta. – 2019. – T. 15, № 5. – S. 117-121.

[14] Suvorov, A. Parametrization and manufacturing of a combined electrode tool using additive technologies and modern Computer-Aided design systems / A. Suvorov // Journal of Physics: Conference Series. – 2019. – T. 1278. – P. 012031. – DOI: 10.1088/1742-6596/1278/1/012031.

[15] Manufacturing a Combined Electrode-Instrument by the Method of Fast Prototyping / E. Smolentsev, D. Krokhin, V. Kuts, M. Razumov // Smart Innovation, Systems and Technologies. – 2022. – Vol. 247. – P. 185-195. - DOI: 10.1007/978-981-16-3844-2_20.

[16] Krohin, D.E. Additivnye tehnologii izgotovleniya elektrodov-instrumentov [Additive technologies for manufacturing electrodes-tools] / D.E. Krohin, V.P. Smolencev, I.G. Starodubcev // Uprochnyayuschie tehnologii i pokrytiya. – 2022. – T. 18, № 6(210). – S. 276-282. – DOI: 10.36652/1813-1336-2022-18-6-276-282.

[17] Additivnye tehnologii izgotovleniya instrumenta dlya kombinirovannyh metodov obrabotki [Additive technologies for manufacturing tools for combined processing methods] / V.P. Smolencev, N.N. Nenahov, A.A. Izvekov, I.G. Starodubcev // Naukoemkie tehnologii v mashinostroenii. – 2022. – № 7(133). – S. 3-8. – DOI: 10.30987/2223-4608-2022-1-7-3-8.

[18] Norman, A. Additive Technology for Forming Channels with Galvanic-Mechanical Coatings / A. Norman, V. Smolentsev, I. Starodubtsev // Key Engineering Materials. – 2022. – Vol. 910 KEM. – P. 375-380. – DOI: 10.4028/p-dq0y3u.

[19] Potashnikova, N.S. Additivnaya tehnologiya sozdaniya instrumenta dlya elektroabrazivnoy obrabotki [Additive technology for creating tools for electrical abrasive processing] / N.S. Potashnikova, V.P. Smolencev, M.G. Potashnikov // Uprochnyayuschie tehnologii i pokrytiya. – 2021. – T. 17, № 3(195). – S. 138-144.

[20] Manufacturing a Combined Electrode-Instrument by the Method of Fast Prototyping [Manufacturing a Combined Electrode-Instrument by the Method of Fast Prototyping] / E. Smolentsev, D. Krokhin, V. Kuts, M. Razumov // Smart Innovation, Systems and Technologies. – 2022. – Vol. 247. – P. 185-195. – DOI: 10.1007/978-981-16-3844-2_20.

¹Voronezh Institute of the Federal Penitentiary Service of Russia, This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

²Voronezh Institute of the Ministry of Internal Affairs of Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.

³Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Complex organizational systems, management decision-making, operations research method, Markov process theory, exponential distribution law, Kolmogorov equations.

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[3] Osnovy upravleniya v pravoohranitel'nyh organah [Fundamentals of management in law enforcement agencies] : uchebnoe posobie / V.P. Balan, A.V. Dushkin, V.I. Novosel'cev, V.I. Sumin. – Voronezh : Nauchnaya kniga, 2021. - 100 s.

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[5] Analiz funkcionirovaniya i strukturnaya dekompoziciya informacionnyh sistem special'nogo naznacheniya [Analysis of the functioning and structural decomposition of special-purpose information systems] / V.I. Sumin, T.E. Smolenceva, Yu.Yu. Gromov, V.M. Tyutyunnik // Nauchno-tehnicheskaya informaciya. Seriya 2: Informacionnye processy i sistemy. – 2021. – №8. – S. 5-14.

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[7] Sumin, V.I. Razrabotka modeley i algoritmov informacionnyh struktur i processov ob'ektov osoboy vazhnosti [Development of models and algorithms of information structures and processes of objects of special importance] / V.I. Sumin, D.Yu. Churakov, E.G. Car'kova // Promyshlennye ASU i kontrollery. – 2019. – № 4. – S. 30-39.

[8] Matematicheskoe modelirovanie v zadache o vybore optimal'nogo mesta sluzhby dlya voennosluzhaschego [Mathematical modeling in the problem of choosing the optimal duty station for a serviceman] / Yu.V. Korypaeva, L.D. Kuznecova, V.I. Sumin, D.B. Desyatov // Vestnik Voronezhskogo instituta FSIN Rossii. – 2022. – № 4. – S. 107-112.

[9] Rodin S.V. Modelirovanie sistem zaschity informacii v informacionnyh sistemah vnevedomstvennoy ohrany [Modeling of information security systems in information systems of private security] : special'nost' 05.13.18 – Matematicheskoe modelirovanie, chislennye metody i kompleksy programm, 05.13.19 – Metody i sistemy zaschity informacii, informacionnaya bezopasnost': avtoref. dis. … kand. tehn. nauk / Rodin Sergey Vladimirovich. – Voronezh, 2009. – 17 s.

[10] Matematicheskaya model' lokal'noy politiki bezopasnosti s uchetom strukturnyh osobennostey avtomatizirovannoy informacionnoy sistemy informacionnogo centra [Mathematical model of local security policy taking into account the structural features of the automated information system of the information center] / V.I. Sumin, A.V. Dushkin, S.V. Rodin, M.A. Zhukova // Matematicheskie metody i informacionno-tehnicheskie sredstva : sbornik materialov IX Vserossiyskoy nauchno-prakticheskoy konferencii. – Krasnodar, 2013. – S. 305-307.

[11] Sumin, V.I. Optimizaciya funkcionirovaniya informacionnyh sistem special'nogo naznacheniya [Optimization of the functioning of special-purpose information systems] / V.I. Sumin, Yu.Yu. Gromov, V.M. Tyutyunnik // Nauchno-tehnicheskaya informaciya. Seriya 2: Informacionnye processy i sistemy. – 2023. – № 5. – S. 1-6. – DOI: 10.36535/0548-0027-2023-05-1.

[12] Razrabotka logiko-matematicheskih modeley prinyatiya upravlencheskih modeley v slozhnyh organizacionnyh sistemah special'nogo naznacheniya [Development of logical and mathematical models for the adoption of management models in complex organizational systems for special purposes] / V.I. Sumin, A.V. Mel'nikov, V.I. Anciferova, S.A. Sazonova // Modelirovanie sistem i processov. – 2023. – T. 16, № 1. – S. 26-34. – DOI: 10.12737/2219-0767-2023-16-1-26-34.

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[20] Fluid Flow Approximation of Time-Limited TCP/UDP/XCP Streams / J. Domanska, A. Domanski, T. Czachorski, J. Klamka // Bulletin of the Polish Academy of Sciences. Technical Sciences. – 2014. – Vol. 62, № 2. – Pp. 217-225.

[21] Fluid Flow Approximation of Time-Limited TCP/UDP/XCP Streams / J. Domanska, A. Domanski, T. Czachorski, J. Klamka // Bulletin of the Polish Academy of Sciences. Technical Sciences. – 2014. – V. 62, № 2. – Pp. 217-225.

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[23] The system for operational monitoring and analytics of industry cyber-physical systems security in fuel and energy domains based on anomaly detection and prediction methods / N.V. Nashivochnikov, A.A. Bolshakov, A.A. Lukashin, M. Popov // Cyber-Physical Systems: Industry 4.0 Challenges. Studies in Systems, Decision and Control - Cham: Springer Nature Switzerland AG. - 2020. - Vol. 260. – Pp. 277-288.

[24] Podvalny, S.L. Modelling and analysing the dynamic interaction between competing branches of the regional economy as a multiagent control system / S.L. Podvalny, N.V. Minakova, E.M. Vasiljev // IEEE Conference Proceedings: 2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA-2019). - 2020. - Pp. 169-174.

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¹The Volga Management Company of the Roselectronika Holding, This email address is being protected from spambots. You need JavaScript enabled to view it.

²Voronezh State Forestry Engineering University named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевыеслова— RTL (Register Transfer Level), computer-aided design (CAD) system, Cadence, System Verilog, product description model

[1] Harakterizaciya i modelirovanie signalov v SAPR [Characterization and modeling of signals in CAD] / V.A. Sklyar, V.K. Zol'nikov, A.I. Yan'kov [i dr.] // Modelirovanie sistem i processov. – 2018. – T. 11, № 1. – S. 62-67. – DOI: 10.12737/article_5b574c7fd2b815.56868481. .

[2] Razrabotka proektnoy sredy i ocenka tehnologichnosti proizvodstva mikroshemy s uchetom stoykosti k special'nym faktoram na primere SBIS 1867C6F [Development of a design environment and assessment of the manufacturability of microcircuit production, taking into account resistance to special factors using the example of VLSI 1867TS6F] / V.A. Sklyar, V.A. Smerek, K.V. Zol'nikov [i dr.] // Modelirovanie sistem i processov. – 2020. – T. 13, № 1. – S. 77-82. – DOI: 10.12737/2219-0767-2020-13-1-77-82. .

[3] Krotkova, N.A. Programmiruemye logicheskie integral'nye shemy (PLIS) [Programmable logic integrated circuits (FPGAs)] / N.A. Krotkova //Nauchnyy al'manah. – 2020. – №. 9-2. – S. 37-39. .

[4] Metody shemotehnicheskogo modelirovaniya KMOP SBIS s uchetom radiacii [Methods of circuit modeling of CMOS VLSI taking into account radiation] / K.V. Zol'nikov [i dr.] // Voprosy atomnoy nauki i tehniki. Seriya: Fizika radiacionnogo vozdeystviya na radioelektronnuyu apparaturu. – 2014. – № 2. – S. 5-9. .

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[6] Kamkin, A.S. Poisk konfliktov dostupa k dannym v HDL-opisaniyah [Search for data access conflicts in HDL descriptions] / A.S. Kamkin, M.S. Lebedev, S.A. Smolov // Trudy Instituta sistemnogo programmirovaniya RAN. – 2019. – T. 31, № 3. – S. 135-144. – DOI: 10.15514/ISPRAS-2019-31(3)-11. .

[7] Ivanov, A.A. Programmno-analiticheskiy kompleks SAPR dlya razrabotki elektronnyh ustroystv [CAD software and analytical complex for the development of electronic devices] / A.A. Ivanov, V.B. Petrov // Elektronika i svyaz'. – 2017. – №2(56). – C. 45-52. .

[8] Ushenina, I.V. Sovremennye napravleniya razvitiya PLIS arhitektury FPGA [Modern directions of development of FPGA architecture FPGA] / I.V. Ushenina //XXI vek: itogi proshlogo i problemy nastoyaschego plyus. – 2017. – №. 4. – S. 120-124. .

[9] Gavrilov, S.V. Reshenie zadach trassirovki mezhsoedineniy s resintezom dlya rekonfiguriruemyh sistem na kristalle [Solving interconnection routing problems with resynthesis for reconfigurable systems on a chip] / S.V. Gavrilov, D.A. Zheleznikov, V.M. Hvatov // Izvestiya vysshih uchebnyh zavedeniy. Elektronika. – 2017. – T. 22, №. 3. – S. 266-275. .

[10] Lebedev, M.S. Generaciya funkcional'nyh testov dlya HDL-opisaniy na osnove proverki modeley [Generation of functional tests for HDL descriptions based on model checking] / M.S. Lebedev, S.A. Smolov // Trudy Instituta sistemnogo programmirovaniya RAN. – 2016. – T. 28, № 4. – S. 41-56. – DOI: 10.15514/ISPRAS-2016-28(4)-3. .

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[13] Vtr 8: High-performance cad and customizable FPGA architecture modelling / K.E. Murray [et al.] // ACM Transactions on Reconfigurable Technology and Systems (TRETS). – 2020. – Т. 13, №. 2. – С. 1-55.

[14] Kalms, L. HiFlipVX: an Open Source High-Level Synthesis FPGA Library for Image Processing / L. Kalms, A. Podlubne, D. Göhringer // Lecture Notes in Computer Science. – 2019. - Vol. 11444. - Pp. 149-164.

[15] Vivado Design Suite User Guide: Model-Based DSP. Design Using System Generator. UG897 (v2020.2), November 18, 2020. – URL: https://www.xilinx.com/content/dam/xilinx/support/documents/sw_manuals/xilinx2020_2/ug897-vivado-sysgen-user.pdf(датаобращения: 02.11.2022).

[16] FIRRTL. – URL: https://github.com/chipsalliance/firrtl(дата обращения: 02.11.2022).

[17] DSLX Reference. – URL: https://google.github.io/xls/dslx_reference(датаобращения: 02.11.2022).

[18] Kalms, L. HiFlipVX: an Open Source High-Level Synthesis FPGA Library for Image Processing / L. Kalms, A. Podlubne, D. Göhringer // Lecture Notes in Computer Science. – 2019. - Vol. 11444. - Pp. 149-164.

[19] An overview of today’s high-level synthesis tools / W. Meeus [et al.] // Design Automation for Embedded Systems. – 2012. - Vol. 16. - Pp. 31-51.

[20] Design and research of the behavioral model for the modular reduction device / Y.Zh. Aitkhozhayeva [et al.] // Eurasian Physical Technical Journal. – 2020. – Vol. 17. – Pp. 151-156. – DOI: 10.31489/2020No1/151-156.

[21] Adilbekkyzy, S. Modeling of the partial reminder former of the modular reduction device / S. Adilbekkyzy, Y.Zh. Aitkhozhayeva, S.T. Tynymbayev // Eurasian Union of Scientists. – 2019. – Vol. 6 (63). - Pp. 47 – 51.

[22] Development and modeling of schematic diagram for the modular reduction device / S.T. Tynymbayev, Y.Zh. Aitkhozhayeva, S. Adilbekkyzy [et al.] // Problems of Informatics. – 2019. - No. 4. - Pp. 42-52.

¹The Volga Management Company of the Roselectronika Holding, This email address is being protected from spambots. You need JavaScript enabled to view it.

²Voronezh State Forestry Engineering University named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевыеслова— Route of designing analog blocks, RTL (Register Transfer Level), computer-aided design system (CAD), Cadence, System Verilog, product description model.

[1] Zol'nikov, V.K. Verifikaciya proektov i sozdanie testovyh posledovatel'nostey dlya proektirovaniya mikroshem [Project verification and creation of test sequences for microcircuit design] / V.K. Zol'nikov, S.A. Evdokimova, T.V. Skvorcova // Modelirovanie sistem i processov. – 2019. – T. 12, № 1. – S. 10-16. – DOI: 10.12737/article_5d639c80c07798.20924462.

[2] Osobennosti proektirovaniya mikroshem, vypolnennyh po gluboko-submikronnym tehnologiyam [Features of the design of microcircuits made using deep-submicron technologies] / A.V. Achkasov [i dr.] // Modelirovanie sistem i processov. – 2022. – T. 15, № 4. – S. 7-17. – DOI: 10.12737/2219-0767-2022-15-4-7-17.

[3] Sravnenie instrumentov vysokourovnevogo sinteza i konstruirovaniya cifrovoy apparatury [Comparison of tools for high-level synthesis and design of digital equipment] / A.S. Kamkin [i dr.] // Trudy Instituta sistemnogo programmirovaniya RAN. – 2022. – T. 34, №5. – S. 7-22. –DOI: 10.15514/ISPRAS-2022-34(5)-1.

[4] Kamkin, A.S. Poisk konfliktov dostupa k dannym v HDL-opisaniyah [Search for data access conflicts in HDL descriptions] / A.S. Kamkin, M.S. Lebedev, S.A. Smolov // Trudy Instituta sistemnogo programmirovaniya RAN. – 2019. – T. 31, № 3. – S. 135-144. – DOI: 10.15514/ISPRAS-2019-31(3)-11.

[5] The performance and energy efficiency potential of FPGAs in scientific computing / T. Nguyen [et al.] // 2020 IEEE/ACM Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems (PMBS). – IEEE, 2020. – Pp. 8-19.

[6] Corperation A. Cyclone IV FPGA Device Family Overview // Cyclone IV Device Handbook. – 2013. – Т. 1

[7] Vtr 8: High-performance cad and customizable FPGA architecture modelling / K.E. Murray [et al.] // ACM Transactions on Reconfigurable Technology and Systems (TRETS). – 2020. – Т. 13, №. 2. – С. 1-55.

[8] Kalms, L. HiFlipVX: an Open Source High-Level Synthesis FPGA Library for Image Processing / L. Kalms, A. Podlubne, D. Göhringer // Lecture Notes in Computer Science. – 2019. - Vol. 11444. - Pp. 149-164.

[9] Daoud, L. A survey of high level synthesis languages, tools, and compilers for reconfigurable high performance computing / L. Daoud, D. Zydek, H. Selvaraj // Advances in Intelligent Systems and Computing. – 2014. - Vol. 240. - Pp. 483-492.

[10] A survey and evaluation of FPGA high-level synthesis tools / R. Nane [et al.] // IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. – 2016. - Vol. 35, is. 10. - Pp. 1591-1604.

[11] Design and research of the behavioral model for the modular reduction device / Y.Zh. Aitkhozhayeva [et al.] // Eurasian Physical Technical Journal. – 2020. – Vol. 17. – Pp. 151-156. – DOI: 10.31489/2020No1/151-156.

[12] Tynymbayev, S.T. High speed device for modular reduction / S.T. Tynymbayev, Y.Zh. Aitkhozhayeva, S. Adilbekkyzy // Bulletin of National Academy of Sciences of the Republic of Kazakhstan. – 2018. – No. 6 (376). – Pp. 147 – 152.

[13] Adilbekkyzy, S. Modeling of the partial reminder former of the modular reduction device / S. Adilbekkyzy, Y.Zh. Aitkhozhayeva, S.T. Tynymbayev // Eurasian Union of Scientists. – 2019. – Vol. 6 (63). - Pp. 47 – 51.

[14] Development and modeling of schematic diagram for the modular reduction device / S.T. Tynymbayev, Y.Zh. Aitkhozhayeva, S. Adilbekkyzy [et al.] // Problems of Informatics. – 2019. - No. 4. - Pp. 42-52.

[15] Cryptographic information security / S.O. Kramarov [et al.]. - Moscow: RIOR Publishing Center, 2018. – 322 p.

[16] Kumar, C.S. Design and Simulation of Low Dropout Regulator / C.S. Kumar, K. Sujatha // International Journal of Science and Research (IJSR). – 2015. – Vol. 4. No. 5. – P. 1404-1408.

[17] AMBA 4 AXI4-Stream Protocol Specification. ARM, Cambridge, UK, ARM IHI 0051A (ID030610), March 03, 2010. – URL: https://developer.arm.com/documentation/ihi0051/a(датаобращения: 02.11.2022).

[18] LegUp. – URL: http://legup.eecg.utoronto.ca(дата обращения: 02.11.2022).

[19] SmartHLS Compiler. – URL: https://www.microchip.com/en-us/products/fpgas-and-plds/fpga-and-soc-design-tools/smarthls-compiler(датаобращения: 02.11.2022).

[20] Vivado Design Suite User Guide: Model-Based DSP. Design Using System Generator. UG897 (v2020.2), November 18, 2020. – URL: https://www.xilinx.com/content/dam/xilinx/support/documents/sw_manuals/xilinx2020_2/ug897-vivado-sysgen-user.pdf(датаобращения: 02.11.2022).

[21] Vitis High-Level Synthesis User Guide. UG1399 (v2021.2), December 15, 2021. – URL: https://www.xilinx.com/content/dam/xilinx/support/documents/sw_manuals/xilinx2021_2/ug1399-vitis-hls.pdf(датаобращения: 02.11.2022).

[22] Intel FPGA SDK for OpenCL. – URL: https://www.intel.com/content/www/us/en/software/programmable/sdk-for-opencl/overview.html(датаобращения: 02.11.2022).

¹Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Partial derivative system, complete controllability, algorithm, cascade decomposition, state, polynomial solution, program control.

[1] Dzhohadze, O.M. Smeshannaya zadacha s nelineynym granichnym usloviem dlya polulineynogo uravneniya kolebaniya struny [Mixed problem with a nonlinear boundary condition for a semilinear string vibration equation] / O.M. Dzhohadze // Differencial'nye uravneniya. – 2022. – T. 58, № 5. – S. 591-606.

[2] Nazarov, S.A. Volny Releya dlya ellipticheskih sistem v oblastyah s periodicheskimi granicami [Rayleigh waves for elliptic systems in regions with periodic boundaries] / S.A. Nazarov // Differencial'nye uravneniya. – 2022. – T. 58, № 5. – S. 638-655.

[3] Zayceva, N.V. Klassicheskie resheniya giperbolicheskih differencial'no-raznostnyh uravneniy v poluprostranstve [Classical solutions of hyperbolic differential-difference equations in half-space] / N.V. Zayceva // Differencial'nye uravneniya. – 2022. – T. 58, № 5. – S. 628-637.

[4] Alekseeva, L.A. Obobschennye resheniya stacionarnyh kraevyh zadach dlya bivolnovyh uravneniy [Generalized solutions of stationary boundary value problems for biwave equations] / L.A. Alekseeva // Differencial'nye uravneniya. – 2022. – T. 58, № 4. – S. 477-488.

[5] Konenkov, A.N. Asimptotika fundamental'nyh resheniy parabolicheskih uravneniy s odnoy prostranstvennoy peremennoy [Asymptotics of fundamental solutions of parabolic equations with one spatial variable] / A.N. Konenkov // Differencial'nye uravneniya. – 2022. – T. 58, № 4. – S. 489-497.

[6] Fudzhita-Yashima, H. Variant ryada Fur'e v sfericheskoy oblasti i ego primenenie k modelirovaniyu ispareniya kapli vody [A version of the Fourier series in the spherical region and its application to modeling the evaporation of a drop of water] / H. Fudzhita-Yashima // Differencial'nye uravneniya. – 2022. – T. 58, № 2. – S. 204-222.

[7] Eliseev, A.G. Development of the Lomov Regularization Method for Singularly Perturbed Caushy Problem and a Boundary Value Problem on the Half-Line for Parabolic Equations with a “Simple” Rational Turning Point / A.G. Eliseev, T.A. Ratnikova, D.A. Shaposhnikova // Differential equations. – 2022. – V. 58, № 3. – P. 314-340.

[8] Lomov, I.S. Postroenie obobschennogo resheniya smeshannoy zadachi dlya telegrafnogo uravneniya: sekvencial'nyy i aksiomaticheskiy podhody [Construction of a generalized solution to a mixed problem for the telegraph equation: sequential and axiomatic approaches] / I.S. Lomov // Differencial'nye uravneniya. – 2022. – T. 58, № 11. – S. 1471-1483.

[9] Belopol'skaya, Ya.S. Veroyatnostnaya interpretaciya zadachi Koshi dlya sistem nelineynyh parabolicheskih uravneniy [Probabilistic interpretation of the Cauchy problem for systems of nonlinear parabolic equations] / Ya.S. Belopol'skaya // Differencial'nye uravneniya. – 2022. – T. 58, № 12. – S. 1606-1623.

[10] Shishkina, E.L. Edinstvennost' resheniya zadachi Koshi dlya obschego uravneniya Eylera-Puassona_Darbu [Uniqueness of the solution to the Cauchy problem for the general Euler-Poisson_Darboux equation] / E.L. Shishkina // Differencial'nye uravneniya. – 2022. – T. 58, № 12. – S. 1688-1693.

[11] Elkin, V.I. Application of Dofferential-Geometric Methods of Control Theory to the Theory of Partial Differential Equations. I / V.I. Elkin // Differential equations. – 2021. – V. 57, № 11. – P. 1451-1459.

[12] Elkin, V.I. Primenenie differencial'no-geometricheskih metodov teorii upravleniya v teorii differencial'nyh uravneniy s chastnymi proizvodnymi [Application of differential-geometric methods of control theory in the theory of partial differential equations] / V.I. Elkin // Differencial'nye uravneniya. – 2022. – T. 58, № 11. – S. 1453-1460.

[13] Stabilization of a System of Unstable Pendulum Discrete and Contininuous Case / P.A. Meleshenko, M.E. Semenov, A.M. Solovyov, K.I. Sypalo // Journal of Computer and Systems Sciences International. – 2022. – V. 61, № 2. – Pp. 135-154.

[14] Thay, V.N. Stabilizaciya kolebaniya upravlyaemoy mehanicheskoy sistemy s N stepenyami svobody [Stabilization of oscillations of a controlled mechanical system with N degrees of freedom] / V.N. Thay // Avtomatika i telemehanika. – 2020. – № 9. – S. 93-104.

[15] Selyutskiy, Y.D. Controlling the Motion of an Aerodynavic Pendulum with an Elastically Fixed Suspension Point / Y.D. Selyutskiy // Journal of Computer and Systems Sciences International. – 2022. – V. 61, № 3. – Pp. 322-331.

[16] Balandin, D.V. Stabilization of Linear Dynamic Objects According to the Measured-Error State Under Constraints on the Phase and Control variables / D.V. Balandin, A.A. Fedyukov // Journal of Computer and Systems Sciences International. – 2021. – V. 60, № 5. – P. 673-685.

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[18] Zubova, S.P. Algoritm resheniya lineynyh mnogotochechnyh zadach upravleniya metodom kaskadnoy dekompozicii [Algorithm for solving linear multipoint control problems using the cascade decomposition method] / S.P. Zubova, E.V. Raeckaya // Avtomatika i telemehanika. – 2017. – № 7. – S. 22-38.

[19] Raeckaya, E.V. Issledovanie singulyarno vozmuschennoy sistemy upravleniya [Study of a singularly perturbed control system] / E.V. Raeckaya // Vestnik Tambovskogo universiteta. Ser. Estestvennye i tehnicheskie nauki. – 2018. – T. 23, № 122. – S. 303-307.

[20] Zubova, S.P. Solution of the multi-point control problem for a dynamic system in partial derivatives / S.P. Zubova, E.V. Raetskaya // Mathematical Methods in the Applied Sciences. – 2021. – V. 44, № 15. – Pp. 11998-12009.

[21] Zubova, S.P. Control problem for dynamical systems with partial derivatives / S.P. Zubova, E.V. Raetskaya, L.H. Trung // Journal of Mathematical Sciences. – 2021. – V. 249, № 6. – Pp. 941-953.

[22] Zubova, S.P. Construction of Controls Providing the Desired Output of the Linear Dynamic System derivatives / S.P. Zubova, E.V. Raetskaya // Automation and Remote Control. – 2018. – Vol. 79 (5). – Pp. 774-791.

[23] Zubova, S.P. Postroenie upravleniya dlya polucheniya zadannogo vyhoda v sisteme nablyudeniya [Construction of control for obtaining a given output in a surveillance system] / S.P. Zubova, E.V. Raeckaya // Vestnik Tambovskogo universiteta. Ser. Estestvennye i tehnicheskie nauki. – 2015. – T. 20, № 5. – S. 1400-1404.

[24] Zubova, S.P. Ob invariantnosti nestacionarnoy sistemy nablyudeniya otnositel'no nekotoryh vozmuscheniy [On the invariance of a non-stationary observation system with respect to some disturbances] / S.P. Zubova, E.V. Raeckaya, Fam T.K. // Vestnik Tambovskogo universiteta. Ser. Estestvennye i tehnicheskie nauki. – 2010. – T. 25, № 6. – S. 1678-1679.

[25] Zubova, S.P. O polinomial'nyh resheniyah lineynoy stacionarnoy sistemy upravleniya [On polynomial solutions of a linear stationary control system] / S.P. Zubova, E.V. Raeckaya, Le Hay Chung // Avtomatika i telemehanika. – 2008. – № 11. – S. 41-47.

[26] Zubova, S.P. Invariance of a nonstationary observability system under certain perturbations / S.P. Zubova, E.V. Raetskaya // Journal of Mathematical Sciences. – 2013. –V. 188, № 3. – P. 218-226.

[27] Raeckaya, E.V. Algoritm postroeniya upravleniya dinamicheskoy sistemoy v chastnyh proizvodnyh [Algorithm for constructing control of a dynamical system in partial derivatives] / E.V. Raeckaya // Modelirovanie sistem i processov. – 2022. – T. 15, № 4. – S. 116-127.

[28] Zubova, S.P. A Study of the Rigidity Descriptor Dynamical Systems in a Banach Spase / S.P. Zubova, E.V. Raetskaya // Journal of Mathematical Sciences. – 2015. –Vol. 208, Is. 1. – Pp. 131-138.

[29] Zubova, S.P. Reshenie zadachi Koshi dlya dvuh deskriptornyh uravneniy s neterovym operatorom [Solution of the Cauchy problem for two descriptor equations with a Noetherian operator] / S.P. Zubova, E.V. Raeckaya // Doklady akademii nauk. – 2014. – T. 459, № 5. – S. 640-652.

[30] Zubova. S.P. Degeneraty Property of a Matrix Differential Operator and Applications / S.P. Zubova, E.V. Raetskaya, V.I. Uskov // Journal of Mathematical Sciences. – Vol. 255, № 5, 2021. – P. 640-652.

[31] Zubova, S.P. Reshenie polugranichnoy zadachi dlya vyrozhdennogo uravneniya v chastnyh proizvodnyh [Solution of a semi-boundary problem for a degenerate partial differential equation] / S.P. Zubova, E.V. Raeckaya // Differencial'nye uravneniya. – 2022. – T. 58, № 9. – S. 1193-1204.

[32] Zubova, S.P. Issledovanie resheniya zadachi Koshi dlya deskriptornogo uravneniya s vozmuscheniem v pravoy chasti [Study of the solution to the Cauchy problem for a descriptor equation with a perturbation on the right side] / S.P. Zubova, E. V. Raeckaya // Itogi nauki i tehniki. Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory. – 2021. – T. 195.– S. 51-56.

¹Voronezh State University of Forestry and Technologies named after G.F. Morozov, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Resolving operator, operator spectrum, norm, kernel, Banach space.

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¹Voronezh State Technical University, Voronezh, This email address is being protected from spambots. You need JavaScript enabled to view it.

²Military Educational and Scientific Centre of the Air Force N.E. Zhukovsky and Y.A. Gagarin Air Force Academy, Voronezh, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ключевые слова — Sudden narrowing, non-Newtonian fluid, Carreau model, Ostwald-de Ville equation, local resistance coefficient, Reynolds number, regularization, pressure loss.

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