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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 4, Pages 913–927
DOI: https://doi.org/10.17377/smzh.2016.57.413 (Mi smj2792) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The invariance principle for nonautonomous differential equations with discontinuous right-hand side

I. A. Finogenko

Institute of Systems Dynamics and Control Theory, Irkutsk, Russia
Full-text PDF (324 kB) Citations (6)
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DOI: https://doi.org/10.17377/smzh.2016.57.413
Abstract: We study limit differential inclusions for nonautonomous differential equations with discontinuous right-hand side and Filippov solutions. Using Lyapunov functions with derivatives of constant sign, we establish an analog of LaSalle's invariance principle. We study differential equations with either measurable or piecewise continuous right-hand side.
Keywords: differential equation, discontinuous right-hand side, Filippov solution, limit differential inclusion, invariance principle.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00287
The author was supported by the Russian Foundation for Basic Research (Grant 13-01-00287).
Received: 30.05.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 4, Pages 715–725
DOI: https://doi.org/10.1134/S0037446616040133
Bibliographic databases:
Document Type: Article
UDC: 531.911.5
Language: Russian
Citation: I. A. Finogenko, “The invariance principle for nonautonomous differential equations with discontinuous right-hand side”, Sibirsk. Mat. Zh., 57:4 (2016), 913–927; Siberian Math. J., 57:4 (2016), 715–725
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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