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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 3, Pages 266–270 (Mi timm738)  
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotics of a solution to a linear optimal control problem in the singular case

Yu. V. Parysheva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (137 kB) Citations (3)
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Abstract: A linear optimal control problem with fast and slow variables, smooth geometric constraints on the control, and a terminal value function is considered. Conditions are found under which the asymptotic expansion of the value function contains logarithmic terms.
Keywords: optimal control, terminal value function, bounded controls, singular perturbations, asymptotic expansions.
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: Yu. V. Parysheva, “Asymptotics of a solution to a linear optimal control problem in the singular case”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 266–270
Citation in format AMSBIB
\Bibitem{Par11}
\by Yu.~V.~Parysheva
\paper Asymptotics of a~solution to a~linear optimal control problem in the singular case
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 3
\pages 266--270
\mathnet{http://mi.mathnet.ru/timm738}
\elib{https://elibrary.ru/item.asp?id=17870138}
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  • https://www.mathnet.ru/eng/timm/v17/i3/p266
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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