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Matematicheskie Trudy, 2003, Volume 6, Number 2, Pages 66–79 (Mi mt92)  

This article is cited in 4 scientific papers (total in 4 papers)

Collective Pursuit with Integral Constraints on the Controls of Players

G. I. Ibragimov

University of World Economy and Diplomacy of the Ministry of Foreign Affairs of the Republic of Uzbekistan
Full-text PDF (901 kB) Citations (4)
References:
Abstract: Under consideration is a linear differential game of several persons with integral constraints on the controls of the players. Pursuit terminates if a solution to at least one of the equations describing the differential game hits the origin at some instant of time. We establish a necessary and sufficient condition of terminating pursuit from all points of the space in the case of a single pursuer and a sufficient condition in the case of many pursuers.
Key words: game, strategy, pursuit.
Received: 30.11.2001
Bibliographic databases:
UDC: 517.92
Language: Russian
Citation: G. I. Ibragimov, “Collective Pursuit with Integral Constraints on the Controls of Players”, Mat. Tr., 6:2 (2003), 66–79; Siberian Adv. Math., 14:2 (2004), 14–26
Citation in format AMSBIB
\Bibitem{Ibr03}
\by G.~I.~Ibragimov
\paper Collective Pursuit with Integral Constraints on the~Controls of~Players
\jour Mat. Tr.
\yr 2003
\vol 6
\issue 2
\pages 66--79
\mathnet{http://mi.mathnet.ru/mt92}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2033647}
\zmath{https://zbmath.org/?q=an:1128.91306|1060.91032}
\transl
\jour Siberian Adv. Math.
\yr 2004
\vol 14
\issue 2
\pages 14--26
Linking options:
  • https://www.mathnet.ru/eng/mt92
  • https://www.mathnet.ru/eng/mt/v6/i2/p66
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:353
    Full-text PDF :130
    References:40
    First page:1
     
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