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Avtomatika i Telemekhanika, 2019, Issue 11, Pages 83–92
DOI: https://doi.org/10.1134/S0005231019110047 (Mi at15356) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Nonlinear Systems

Stabilizing the oscillations of a controlled mechanical system

V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (615 kB) Citations (21)
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DOI: https://doi.org/10.1134/S0005231019110047
Abstract: A mechanical system subjected to the action of positional forces and small smooth control is considered. It is assumed that in the absence of control, the system may have a family of single-frequency oscillations. A universal control — a nonlinear force that implements and simultaneously stabilizes a cycle in the system — is found. An example is given.
Keywords: mechanical system, universal small smooth control, natural stabilization.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00146

Received: 05.11.2018
Revised: 14.04.2019
Accepted: 25.04.2019
English version:
Automation and Remote Control, 2019, Volume 80, Issue 11, Pages 1996–2004
DOI: https://doi.org/10.1134/S0005117919110043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Tkhai, “Stabilizing the oscillations of a controlled mechanical system”, Avtomat. i Telemekh., 2019, no. 11, 83–92; Autom. Remote Control, 80:11 (2019), 1996–2004
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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