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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 4, Pages 23–39 (Mi vuu294)  

This article is cited in 21 scientific papers (total in 21 papers)

MATHEMATICS

Approximations of attainability sets and of integral funnels of differential inclusions

V. N. Ushakov, A. R. Matviichuk, A. V. Ushakov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
References:
Abstract: The paper is devoted to differential inclusions (DI) on finite time intervals. We consider some questions of computation of attainable sets for DI. The above sets are rarely describable analytically in an effective way though, often, there is a necessity for their computation, for example, in control theory, in which the above computation is a stimulus to develop methods and algorithms used to approximately compute attainable sets.
Keywords: attainability sets, integral funnel, differential inclusion.
Received: 12.10.2011
Document Type: Article
UDC: 517.977.5
MSC: 35F15, 37G10
Language: Russian
Citation: V. N. Ushakov, A. R. Matviichuk, A. V. Ushakov, “Approximations of attainability sets and of integral funnels of differential inclusions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4, 23–39
Citation in format AMSBIB
\Bibitem{UshMatUsh11}
\by V.~N.~Ushakov, A.~R.~Matviichuk, A.~V.~Ushakov
\paper Approximations of attainability sets and of integral funnels of differential inclusions
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 4
\pages 23--39
\mathnet{http://mi.mathnet.ru/vuu294}
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  • https://www.mathnet.ru/eng/vuu/y2011/i4/p23
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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