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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 222–239 (Mi tm776)  
This article is cited in 8 scientific papers (total in 8 papers)

Necessary Optimality Conditions for a Class of Optimal Control Problems with Discontinuous Integrand

A. I. Smirnov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (249 kB) Citations (8)
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Abstract: We consider a nonlinear optimal control problem with an integral functional in which the integrand contains the characteristic function of a given closed subset of the phase space. Using an approximation method, we prove necessary optimality conditions in the form of the Pontryagin maximum principle without any a priori assumptions about the behavior of an optimal trajectory.
Received in April 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 213–230
DOI: https://doi.org/10.1134/S0081543808030176
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: A. I. Smirnov, “Necessary Optimality Conditions for a Class of Optimal Control Problems with Discontinuous Integrand”, 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, 222–239; Proc. Steklov Inst. Math., 262 (2008), 213–230
Citation in format AMSBIB
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\paper Necessary Optimality Conditions for a~Class of Optimal Control Problems with Discontinuous Integrand
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\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
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\pages 222--239
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 8 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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