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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 5(21), Pages 24–32
DOI: https://doi.org/10.14498/vsgtu798 (Mi vsgtu798) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Differential Equations

On the Stability of Hybrid Homogeneous Systems

A. Yu. Aleksandrov, A. V. Platonov

Dept. of Medical and Biological Systems Control, Saint-Petersburg State University, Faculty of Applied Mathematics and Control Processes, Saint-Petersburg
Full-text PDF (207 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu798
Abstract: The hybrid system consisting of the family of subsystems with homogeneous right-hand sides and a switching law is considered. It is assumed that the zero solution of each subsystem is asymptotically stable. By the use of the Lyapunov functions method, the classes of admissible switching laws are determined under which the corresponding hybrid system is also asymptotically stable. The region of asymptotic stability of the zero solution is investigated.
Keywords: switched systems, stability, homogeneous systems, Lyapunov functions, region of asymptotic stability.
Original article submitted 08/VI/2010
revision submitted – 26/VIII/2010
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 34A38, 34D20
Language: Russian
Citation: A. Yu. Aleksandrov, A. V. Platonov, “On the Stability of Hybrid Homogeneous Systems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 24–32
Citation in format AMSBIB
\Bibitem{AlePla10}
\by A.~Yu.~Aleksandrov, A.~V.~Platonov
\paper On the Stability of Hybrid Homogeneous Systems
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 24--32
\mathnet{http://mi.mathnet.ru/vsgtu798}
\crossref{https://doi.org/10.14498/vsgtu798}
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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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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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