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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 5, Pages 28–39 (Mi ivm8701)  
This article is cited in 2 scientific papers (total in 2 papers)

Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations

B. S. Kalitina, R. Chabourb

a Chair of Methods of Optimal Control, Belarusian State University, Minsk, Republic of Belarus
b Department of Mathematics, Metz University P. Verlin, Metz, France
Full-text PDF (226 kB) Citations (2)
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Abstract: We extend the method of semidefinite Lyapunov functions for analyzing the motion stability as applied to systems of nonautonomous differential equations. We prove basic stability theorems and illustrate them with examples.
Keywords: nonautonomous systems of differential equations, equilibrium, stability, Lyapunov function.
Received: 27.01.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 5, Pages 23–33
DOI: https://doi.org/10.3103/S1066369X12050039
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: B. S. Kalitin, R. Chabour, “Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5, 28–39; Russian Math. (Iz. VUZ), 56:5 (2012), 23–33
Citation in format AMSBIB
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\by B.~S.~Kalitin, R.~Chabour
\paper Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 5
\pages 28--39
\mathnet{http://mi.mathnet.ru/ivm8701}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076887}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 5
\pages 23--33
\crossref{https://doi.org/10.3103/S1066369X12050039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862637351}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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