S. V. Borzunov, M. Y. Semenov, N. I. Sel'vesyuk, P. A. Meleshenko, “Hysteretic converters with stochastic parameters”, Mat. Model., 31:7 (2019), 109–126; Math. Models Comput. Simul., 12:2 (2020), 164

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Matematicheskoe modelirovanie, 2019, Volume 31, Number 7, Pages 109–126
DOI: https://doi.org/10.1134/S0234087919070074 (Mi mm4098)

This article is cited in 11 scientific papers (total in 11 papers)

Hysteretic converters with stochastic parameters

S. V. Borzunov^a, M. Y. Semenov^bca, N. I. Sel'vesyuk^d, P. A. Meleshenko^ae

^a Voronezh State University
^b Voronezh State Technical University
^c Geophysical Survey of Russia Academy of Sciences
^d State Research Institute of Aviation Systems
^e Zhukovsky–Gagarin Air Force Academy

Full-text PDF (561 kB) Citations (11)

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DOI: https://doi.org/10.1134/S0234087919070074

Abstract: A new class of models of hysteretic converters which generalizes the classical definition of backlash to the case when the curves defining it are non-deterministic and have a random distribution is proposed. In this case an output of stochastic converter is defined as a random process. The correctness of the definition of the corresponding converter in terms of a special limit construction is proved. Using such a definition it is possible to determine the output at an arbitrary continuous input. The properties of introduced сonverters are investigated and explicit analytic relations determining the first and second moment (as functions of the corresponding parameters) are presented together with illustrative examples.

Keywords: hysteresis, backlash, hysteresis properties.

Received: 20.12.2018
Revised: 20.12.2018
Accepted: 11.03.2019

English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 2, Pages 164–175
DOI: https://doi.org/10.1134/S2070048220020040

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. V. Borzunov, M. Y. Semenov, N. I. Sel'vesyuk, P. A. Meleshenko, “Hysteretic converters with stochastic parameters”, Mat. Model., 31:7 (2019), 109–126; Math. Models Comput. Simul., 12:2 (2020), 164–175

Citation in format AMSBIB

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\by S.~V.~Borzunov, M.~Y.~Semenov, N.~I.~Sel'vesyuk, P.~A.~Meleshenko

\paper Hysteretic converters with stochastic parameters

\jour Mat. Model.

\yr 2019

\vol 31

\issue 7

\pages 109--126

\mathnet{http://mi.mathnet.ru/mm4098}

\crossref{https://doi.org/10.1134/S0234087919070074}

\elib{https://elibrary.ru/item.asp?id=38487758}

\transl

\jour Math. Models Comput. Simul.

\yr 2020

\vol 12

\issue 2

\pages 164--175

\crossref{https://doi.org/10.1134/S2070048220020040}

Linking options:

https://www.mathnet.ru/eng/mm4098

https://www.mathnet.ru/eng/mm/v31/i7/p109

This publication is cited in the following 11 articles:

Sergei V. Borzunov, Mikhail E. Semenov, Eugene Y. Zybin, Sergey Y. Zheltov, Vladislav V. Kosyanchuk, Andrey I. Barsukov, “A Simple Model of Turbine Control Under Stochastic Fluctuations of Internal Parameters”, Computation, 13:2 (2025), 27
M E Semenov, S V Borzunov, P A Meleshenko, N I Sel'vesyuk, “The Preisach model of hysteresis: fundamentals and applications”, Phys. Scr., 99:6 (2024), 062008
S. V. Borzunov, P. A. Meleshenko, V. A. Nesterov, M. E. Semenov, A. M. Solovyov, “Nonclassical Optimal Control Problem with Operator Hysteresis Nonlinearities”, J. Comput. Syst. Sci. Int., 63:3 (2024), 403
S. V. Borzunov, P. A. Meleshenko, V. A. Nesterov, M. E. Semenov, A. M. Solovyov, “A non-classical optimal control problem with operator hysteresis nonlinearities”, Teoriâ i sistemy upravleniâ, 2024, no. 3, 26
Andrey M. Solovyov, Nikolay I. Selvesyuk, Vladislav V. Kosyanchuk, Evgeniy Y. Zybin, “A Model of a Universal Neural Computer with Hysteresis Dynamics for Avionics Problems”, Mathematics, 10:14 (2022), 2390
Mikhail E. Semenov, Sergei V. Borzunov, Peter A. Meleshenko, Alexey V. Lapin, “A Model of Optimal Production Planning Based on the Hysteretic Demand Curve”, Mathematics, 10:18 (2022), 3262
S. V. Borzunov, M. E. Semenov, N. I. Sel'vesyuk, P. A. Meleshenko, “Generalized play-operator under stochastic perturbations: an analytic approach”, J. Vib. Eng. Technol., 9:3 (2021), 355–365
M. E. Semenov, O. O. Reshetova, S. V. Borzunov, P. A. Meleshenko, “Self-oscillations in a system with hysteresis: the small parameter approach”, Eur. Phys. J.-Spec. Top., 230:18-20 (2021), 3565–3571
S. V. Borzunov, M. E. Semenov, N. I. Sel'vesyuk, P. A. Meleshenko, A. M. Solovyov, “Stochastic model of the hysteresis converter with a domain structure”, Math. Models Comput. Simul., 14:2 (2022), 305–321
Semenov M., Meleshenko P., Reshetova O., Solovyov A., 2020 Vi International Conference on Information Technology and Nanotechnology (IEEE Itnt-2020), ed. Kudryashov D., IEEE, 2020
T. Yu. Zablotskaya, 2020 2nd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2020, 576

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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