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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 1, Pages 41–48 (Mi timm897)  
This article is cited in 12 scientific papers (total in 12 papers)

Capture of two cooperative evaders in linear recurrent differential games

M. N. Vinogradova, N. N. Petrov, N. A. Solov'eva

Udmurt State University
Full-text PDF (157 kB) Citations (12)
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Abstract: A linear nonstationary problem of a conflict interaction of a group of pursuers with two evaders with equal dynamic and inertial capabilities of all the participants is considered under the assumptions that the fundamental matrix of the homogeneous system is a recurrent function and the evaders use the same control. Sufficient conditions for the capture of the evaders are obtained. Illustrative examples are given.
Keywords: differential game, group pursuit, recurrent function.
Received: 01.09.2012
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. N. Vinogradova, N. N. Petrov, N. A. Solov'eva, “Capture of two cooperative evaders in linear recurrent differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 1, 2013, 41–48
Citation in format AMSBIB
\Bibitem{VinPetSol13}
\by M.~N.~Vinogradova, N.~N.~Petrov, N.~A.~Solov'eva
\paper Capture of two cooperative evaders in linear recurrent differential games
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 1
\pages 41--48
\mathnet{http://mi.mathnet.ru/timm897}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3408359}
\elib{https://elibrary.ru/item.asp?id=18839263}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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