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Avtomatika i Telemekhanika, 2022, Issue 2, Pages 90–106
DOI: https://doi.org/10.31857/S0005231022020064 (Mi at15598) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Nonlinear Systems

Cycle mode in a coupled conservative system

V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
Full-text PDF (267 kB) First page Citations (7)
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DOI: https://doi.org/10.31857/S0005231022020064
Abstract: A scheme for controlling oscillations is proposed, in which, within the framework of a coupled system, the van der Pol cycle mode is imposed on a conservative system that admits a family of periodic motions. The acting control is found, the cycle is constructed, the attraction domain of the cycle is determined, and a control law and an algorithm for the asymptotic exit of the coupled system to the cycle mode are given.
Keywords: van der Pol equation, conservative system, oscillation family, control, cycle, stabilization scheme, attraction domain.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00146а
This work was financially supported in part by the Russian Foundation for Basic Research, project no. 19-01-00146a.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 08.11.2020
Revised: 08.07.2021
Accepted: 29.08.2021
English version:
Automation and Remote Control, 2022, Volume 83, Issue 2, Pages 237–251
DOI: https://doi.org/10.1134/S0005117922020060
Document Type: Article
Language: Russian
Citation: V. N. Tkhai, “Cycle mode in a coupled conservative system”, Avtomat. i Telemekh., 2022, no. 2, 90–106; Autom. Remote Control, 83:2 (2022), 237–251
Citation in format AMSBIB
\Bibitem{Tkh22}
\by V.~N.~Tkhai
\paper Cycle mode in a coupled conservative system
\jour Avtomat. i Telemekh.
\yr 2022
\issue 2
\pages 90--106
\mathnet{http://mi.mathnet.ru/at15598}
\crossref{https://doi.org/10.31857/S0005231022020064}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 2
\pages 237--251
\crossref{https://doi.org/10.1134/S0005117922020060}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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