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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 187–195 (Mi tm773)  
This article is cited in 5 scientific papers (total in 5 papers)

Necessary Optimality Conditions for Nonautonomous Control Systems with an Infinite Time Horizon

N. A. Malysh

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (169 kB) Citations (5)
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Abstract: We consider a nonautonomous optimal control problem on an infinite time horizon with an integral functional containing a positive discounting factor. In the case of a dominating discounting factor, we obtain a variant of the Pontryagin maximum principle that contains explicit expressions for the adjoint variable and the Hamiltonian of the problem.
Received in April 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 179–187
DOI: https://doi.org/10.1134/S0081543808030140
Bibliographic databases:
UDC: 517.977.52
Language: Russian
Citation: N. A. Malysh, “Necessary Optimality Conditions for Nonautonomous Control Systems with an Infinite Time Horizon”, 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, 187–195; Proc. Steklov Inst. Math., 262 (2008), 179–187
Citation in format AMSBIB
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\paper Necessary Optimality Conditions for Nonautonomous Control Systems with an Infinite Time Horizon
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 262
\pages 187--195
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 5 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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