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Avtomatika i Telemekhanika, 2022, Issue 9, Pages 94–108
DOI: https://doi.org/10.31857/S0005231022090057 (Mi at15922) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Nonlinear Systems

Stabilization of oscillations of a controlled reversible mechanical system

V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
Full-text PDF (215 kB) First page Citations (6)
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DOI: https://doi.org/10.31857/S0005231022090057
Abstract: We consider reversible mechanical systems that have the property of space-time symmetry and are distinguished by a linear transformation of the phase space. It is assumed that the system admits a nondegenerate symmetric periodic motion. The problem of stabilizing the oscillations of a controlled reversible mechanical system is solved, controls are found, an attracting cycle is constructed, and an example is given.
Keywords: reversible mechanical system, symmetric periodic motion, family, control, attracting cycle, natural stabilization.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 17.03.2022
Revised: 18.05.2022
Accepted: 10.06.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 9, Pages 1404–1416
DOI: https://doi.org/10.1134/S0005117922090053
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Tkhai, “Stabilization of oscillations of a controlled reversible mechanical system”, Avtomat. i Telemekh., 2022, no. 9, 94–108; Autom. Remote Control, 83:9 (2022), 1404–1416
Citation in format AMSBIB
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\by V.~N.~Tkhai
\paper Stabilization of oscillations of a controlled reversible mechanical system
\jour Avtomat. i Telemekh.
\yr 2022
\issue 9
\pages 94--108
\mathnet{http://mi.mathnet.ru/at15922}
\crossref{https://doi.org/10.31857/S0005231022090057}
\edn{https://elibrary.ru/AIPBRB}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 9
\pages 1404--1416
\crossref{https://doi.org/10.1134/S0005117922090053}
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  • https://www.mathnet.ru/eng/at/y2022/i9/p94
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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