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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 2, Pages 98–111
DOI: https://doi.org/10.20537/vm110207 (Mi vuu219) 		 
This article is cited in 6 scientific papers (total in 6 papers)

MATHEMATICS

Invariance defect of sets with respect to differential inclusion

V. N. Ushakova, A. A. Zimovetsb

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Full-text PDF (222 kB) Citations (6)
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DOI: https://doi.org/10.20537/vm110207
Abstract: A differential inclusion generated by a control system on a finite time interval is considered. The invariance of sets with respect to differential inclusion is investigated. The invariance defect of non-invariant sets with respect to differential inclusion is introduced. An example is presented.
Keywords: control system, differential inclusion, Hamiltonian, invariance, invariance defect.
Received: 24.05.2011
Document Type: Article
UDC: 517.977.1
MSC: 37C99
Language: Russian
Citation: V. N. Ushakov, A. A. Zimovets, “Invariance defect of sets with respect to differential inclusion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 98–111
Citation in format AMSBIB
\Bibitem{UshZim11}
\by V.~N.~Ushakov, A.~A.~Zimovets
\paper Invariance defect of sets with respect to differential inclusion
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 2
\pages 98--111
\mathnet{http://mi.mathnet.ru/vuu219}
\crossref{https://doi.org/10.20537/vm110207}
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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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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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