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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 4, Pages 75–85
DOI: https://doi.org/10.17377/sibjim.2018.21.406 (Mi sjim1022) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the existence and construction of common Lyapunov functions for switched discrete systems

A. A. Kosova, M. V. Kozlovb

a Matrosov Institute for System Dynamics and Control Theory, ul. Lermontova 134, Irkutsk, 664033 Russia
b National Research Mordovian State University, ul. Bol'shevistskaya 68, Saransk, 430005 Russia
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DOI: https://doi.org/10.17377/sibjim.2018.21.406
Abstract: Under consideration is the problem of stability of switched discrete systems with the generalized homogeneous right-hand sides. The conditions are obtained for the existence of the common Lyapunov function, and a method for its construction is proposed in the form of a combination of the partial Lyapunov functions obtained for isolated subsystems. For a special case of linear three-dimensional systems, some algorithms are proposed for constructing common Lyapunov functions as quadratic and fourth degree forms. Some examples illustrate the effectiveness of the proposed approach.
Keywords: switched discrete system, stability, common Lyapunov function.
Funding agency Grant number
Russian Foundation for Basic Research 17-31-50034 мол_нр
The authors were supported by the Russian Foundation for Basic Research (project no. 17-31-50034 mol_nr).
Received: 09.07.2018
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 4, Pages 668–677
DOI: https://doi.org/10.1134/S1990478918040075
Bibliographic databases:
Document Type: Article
UDC: 62.50
Language: Russian
Citation: A. A. Kosov, M. V. Kozlov, “On the existence and construction of common Lyapunov functions for switched discrete systems”, Sib. Zh. Ind. Mat., 21:4 (2018), 75–85; J. Appl. Industr. Math., 12:4 (2018), 668–677
Citation in format AMSBIB
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\paper On the existence and construction of common Lyapunov functions for switched discrete systems
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\vol 21
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\pages 75--85
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\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
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\pages 668--677
\crossref{https://doi.org/10.1134/S1990478918040075}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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