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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 5, Pages 205–212 (Mi timm623)  
To the question about stability of attainability domain in abstract problem with constraints of the moment character

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: The questions of the approximate validity of constraints in the abstract control problems with moment constraints are considered. The property of attainability domain having the sense of stability to within the closure is investigated. With employment of extension in the class of finitely additive measures, the conditions sufficient for the realization of the above-mentioned property are established.
Keywords: finitely additive measure, attraction set, topology.
Received: 18.01.2010
Bibliographic databases:
Document Type: Article
UDC: 517.972.8
Language: Russian
Citation: A. G. Chentsov, “To the question about stability of attainability domain in abstract problem with constraints of the moment character”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 205–212
Citation in format AMSBIB
\Bibitem{Che10}
\by A.~G.~Chentsov
\paper To the question about stability of attainability domain in abstract problem with constraints of the moment character
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 5
\pages 205--212
\mathnet{http://mi.mathnet.ru/timm623}
\elib{https://elibrary.ru/item.asp?id=15265847}
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