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Mathematics of the USSR-Sbornik, 1988, Volume 59, Issue 1, Pages 129–154
DOI: https://doi.org/10.1070/SM1988v059n01ABEH003128 (Mi sm1913) 		 
This article is cited in 6 scientific papers (total in 7 papers)

The linear differential game of pursuit (analytic theory)

L. S. Pontryagin, A. S. Mishchenko
English version PDF (1068 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM1988v059n01ABEH003128
Abstract: A solution of the linear differential game of pursuit without discrimination of the evading object is constructed under certain natural constraints on the form of the differential game, such as smoothness of the boundaries of the sets of admissible values of the control parameters and conditions of general position. A solution is constructed on the basis of a choice of the pursuit control which maximizes the rate of decay of the estimator function of the time of termination of the game and is best possible in a certain sense. The asymptotic behavior of the estimator function at singular points of the differential game is investigated.
Bibliography: 6 titles.
Received: 24.04.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 131(173), Number 2(10), Pages 131–158
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 90D26
Language: English
Original paper language: Russian
Citation: L. S. Pontryagin, A. S. Mishchenko, “The linear differential game of pursuit (analytic theory)”, Mat. Sb. (N.S.), 131(173):2(10) (1986), 131–158; Math. USSR-Sb., 59:1 (1988), 129–154
Citation in format AMSBIB
\Bibitem{PonMis86}
\by L.~S.~Pontryagin, A.~S.~Mishchenko
\paper The linear differential game of pursuit (analytic theory)
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 131(173)
\issue 2(10)
\pages 131--158
\mathnet{http://mi.mathnet.ru/sm1913}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=865932}
\zmath{https://zbmath.org/?q=an:0626.90108}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 59
\issue 1
\pages 129--154
\crossref{https://doi.org/10.1070/SM1988v059n01ABEH003128}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:831
    Russian version PDF:302
    English version PDF:24
    References:73
    First page:3
     
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