Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2022, Volume 18, Issue 4, Pages 596–607
DOI: https://doi.org/10.21638/11701/spbu10.2022.413 (Mi vspui559) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Control processes

Periodic modes in an automatic control system with a three-position hysteresis relay

V. V. Yevstafyeva, A. M. Kamachkin, D. K. Potapov

St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2022.413
Abstract: We consider an automatic control system with a three-position hysteresis relay and a continuous periodic external perturbation. The existence theorem is established that provide domains in the space of system parameters, including the parameters of the relay and perturbation, to which periodic modes having a pass to saturation zones with given periods and a specified configuration of phase trajectories correspond.
Keywords: automatic control system, three-position hysteresis relay, periodic external perturbation, periodic mode, phase trajectory.
Received: June 23, 2022
Accepted: September 1, 2022
Document Type: Article
UDC: 517.93
MSC: 34C55, 34C25, 93C73
Language: Russian
Citation: V. V. Yevstafyeva, A. M. Kamachkin, D. K. Potapov, “Periodic modes in an automatic control system with a three-position hysteresis relay”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:4 (2022), 596–607
Citation in format AMSBIB
\Bibitem{YevKamPot22}
\by V.~V.~Yevstafyeva, A.~M.~Kamachkin, D.~K.~Potapov
\paper Periodic modes in an automatic control system with a three-position hysteresis relay
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2022
\vol 18
\issue 4
\pages 596--607
\mathnet{http://mi.mathnet.ru/vspui559}
\crossref{https://doi.org/10.21638/11701/spbu10.2022.413}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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