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Avtomatika i Telemekhanika, 2019, Issue 3, Pages 45–54
DOI: https://doi.org/10.1134/S0005231019030036 (Mi at15100) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

On the asymptotic stability of homogeneous singular systems with switching

A. A. Kosova, M. V. Kozlovb

a Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
b Ogarev Mordovia State University
Full-text PDF (658 kB) Citations (2)
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DOI: https://doi.org/10.1134/S0005231019030036
Abstract: The problem of stability of singular switchable systems with homogeneous functions in the right parts is considered. On the basis of decomposition into isolated subsystems of fast and slow movements, the stability conditions of the complete system are obtained for an arbitrary switching mode. A method for selecting the stabilizing feedback in the case when only fast variables are available to the measurement is proposed.
Keywords: singular systems with switching, stability, common Lyapunov function.
Funding agency Grant number
Russian Foundation for Basic Research 17-31-50034_мол_нр
Presented by the member of Editorial Board: A. A. Bobtsov

Received: 15.07.2018
Revised: 19.09.2018
Accepted: 08.11.2018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Kosov, M. V. Kozlov, “On the asymptotic stability of homogeneous singular systems with switching”, Avtomat. i Telemekh., 2019, no. 3, 45–54
Citation in format AMSBIB
\Bibitem{KosKoz19}
\by A.~A.~Kosov, M.~V.~Kozlov
\paper On the asymptotic stability of homogeneous singular systems with switching
\jour Avtomat. i Telemekh.
\yr 2019
\issue 3
\pages 45--54
\mathnet{http://mi.mathnet.ru/at15100}
\crossref{https://doi.org/10.1134/S0005231019030036}
\elib{https://elibrary.ru/item.asp?id=37135604}
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  • https://www.mathnet.ru/eng/at/y2019/i3/p45
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :47
    References:39
    First page:21
     
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