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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 202–221 (Mi tm775)  
This article is cited in 26 scientific papers (total in 27 papers)

Invariant and Stably Invariant Sets for Differential Inclusions

E. A. Panasenkoa, E. L. Tonkovb

a Tambov State University
b Udmurt State University
Full-text PDF (309 kB) Citations (27)
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Abstract: We discuss conditions, in terms of Lyapunov functions, under which a given set in the extended phase space of a nonautonomous differential inclusion becomes positively invariant, invariant, stably invariant, or asymptotically stably invariant. We also derive conditions under which the integral funnel of a differential inclusion is recurrent in time. A series of examples are considered.
Received in December 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 194–212
DOI: https://doi.org/10.1134/S0081543808030164
Bibliographic databases:
UDC: 517.911+517.93
Language: Russian
Citation: E. A. Panasenko, E. L. Tonkov, “Invariant and Stably Invariant Sets for Differential Inclusions”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 202–221; Proc. Steklov Inst. Math., 262 (2008), 194–212
Citation in format AMSBIB
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\paper Invariant and Stably Invariant Sets for Differential Inclusions
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
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\vol 262
\pages 202--221
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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