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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 290–301 (Mi timm444)  
This article is cited in 32 scientific papers (total in 32 papers)

On linear differential games with integral constraints

A. A. Chikrii, A. A. Belousov

Institute of Cybernetics NAS Ukraine
Full-text PDF (186 kB) Citations (32)
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Abstract: Pursuit game problems for linear systems with integral constraints for controls are studied. The proposed scheme uses the ideas of the method of resolving functions. An analog of the Pontryagin condition is formulated, which makes it possible to establish sufficient conditions for the termination of the differential game in some guaranteed time by using the measurable choice theorem for constructing the pursuer's control. The obtained results are illustrated by typical examples of game situations: simple motion and Pontryagin's test case.
Keywords: differential game, pursuit game, integral constraint, set-valued mapping, resolving function.
Received: 29.04.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S69–S80
DOI: https://doi.org/10.1134/S0081543810060076
Bibliographic databases:
Document Type: Article
UDC: 518.9
Language: Russian
Citation: A. A. Chikrii, A. A. Belousov, “On linear differential games with integral constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 290–301; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S69–S80
Citation in format AMSBIB
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\by A.~A.~Chikrii, A.~A.~Belousov
\paper On linear differential games with integral constraints
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 290--301
\mathnet{http://mi.mathnet.ru/timm444}
\elib{https://elibrary.ru/item.asp?id=12952773}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S69--S80
\crossref{https://doi.org/10.1134/S0081543810060076}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962408500}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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