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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 153–163 (Mi timm1208)  

This article is cited in 1 scientific paper (total in 1 paper)

Exact penalties in a problem of constructing an optimal solution of a differential inclusion

V. V. Karelina, A. V. Fominykhb

a St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
b Saint Petersburg State University
Full-text PDF (181 kB) Citations (1)
References:
Abstract: A differential inclusion with given set-valued mapping and initial point is considered. For this differential inclusion, it is required to find a solution that minimizes an integral functional. We use the techniques of support functions and exact penalty functions to obtain some classical results of the maximum principle for differential inclusions in the case where the support function of the set-valued mapping is continuously differentiable in the phase variables. We also consider the case where the support function of the set-valued mapping is not differentiable in the phase variables.
Keywords: nonsmooth functional, differential inclusion, support function, exact penalty function, maximum principle.
Received: 14.05.2015
Bibliographic databases:
Document Type: Article
UDC: 519.711.3
Language: Russian
Citation: V. V. Karelin, A. V. Fominykh, “Exact penalties in a problem of constructing an optimal solution of a differential inclusion”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 153–163
Citation in format AMSBIB
\Bibitem{KarFom15}
\by V.~V.~Karelin, A.~V.~Fominykh
\paper Exact penalties in a problem of constructing an optimal solution of a differential inclusion
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 3
\pages 153--163
\mathnet{http://mi.mathnet.ru/timm1208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468099}
\elib{https://elibrary.ru/item.asp?id=24156711}
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  • https://www.mathnet.ru/eng/timm/v21/i3/p153
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Abstract page:278
    Full-text PDF :63
    References:49
    First page:13
     
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