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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 4, Pages 271–285 (Mi timm886)  
This article is cited in 1 scientific paper (total in 1 paper)

On the question of the weak invariance of sets with respect to a differential inclusion generated by a control system

V. N. Ushakova, A. A. Zimovetsb

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
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Abstract: A differential inclusion generated by a control system is considered on a finite time interval. Questions concerning the property of weak invariance of sets with respect to the differential inclusion are investigated. For sets in the space of positions of the control system that are not weakly invariant with respect to the differential inclusion, a numerical characteristic is introduced, which estimates the degree of the (weak) noninvariance of a set, i.e., the weak invariance defect of this set with respect to the differential inclusion.
Keywords: control system, differential inclusion, control, weak invariance of a set, weak invariance defect.
Received: 10.04.2012
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
Language: Russian
Citation: V. N. Ushakov, A. A. Zimovets, “On the question of the weak invariance of sets with respect to a differential inclusion generated by a control system”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 271–285
Citation in format AMSBIB
\Bibitem{UshZim12}
\by V.~N.~Ushakov, A.~A.~Zimovets
\paper On the question of the weak invariance of sets with respect to a~differential inclusion generated by a~control system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 4
\pages 271--285
\mathnet{http://mi.mathnet.ru/timm886}
\elib{https://elibrary.ru/item.asp?id=18126489}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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