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Avtomatika i Telemekhanika, 2015, Issue 11, Pages 3–17 (Mi at14300)  

This article is cited in 4 scientific papers (total in 4 papers)

Linear Systems

Feedback control for damping a system of linear oscillators

A. I. Ovseevicha, A. K. Fedorovab

a Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
b Bauman Moscow State Technical University, Moscow, Russia
Full-text PDF (438 kB) Citations (4)
References:
Abstract: The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of linear systems. With decreasing of the energy, a similar control with a reduced upper bound is used. On the final stage, the control is constructed by using the method of common Lyapunov functions. Special attention is paid to the cases of one and two oscillators.
Presented by the member of Editorial Board: B. T. Polyak

Received: 20.07.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 11, Pages 1905–1917
DOI: https://doi.org/10.1134/S0005117915110016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Ovseevich, A. K. Fedorov, “Feedback control for damping a system of linear oscillators”, Avtomat. i Telemekh., 2015, no. 11, 3–17; Autom. Remote Control, 76:11 (2015), 1905–1917
Citation in format AMSBIB
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\by A.~I.~Ovseevich, A.~K.~Fedorov
\paper Feedback control for damping a~system of linear oscillators
\jour Avtomat. i Telemekh.
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\issue 11
\pages 3--17
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\transl
\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 11
\pages 1905--1917
\crossref{https://doi.org/10.1134/S0005117915110016}
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Linking options:
  • https://www.mathnet.ru/eng/at14300
  • https://www.mathnet.ru/eng/at/y2015/i11/p3
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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