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Avtomat. i Telemekh., 2005, Issue 8, Pages 24–35 (Mi at1413)  

Deterministic Systems

A group pursuit game

G. I. Ibragimov

University of World Economy and Diplomacy, Tashkent, Uzbekstan

Abstract: A differential game of pursuit of an evader by $m$ dynamic pursuers under simple motion is studied. The time of game completion is fixed. Pursuers' controls obey integral constraints, whereas the evader control obeys either an integral constraint or a geometric constraint. A differential game with cost defined by the distance between the evader and his nearest pursuer at the game completion instant is studied. Optimal strategies for players are constructed and the game cost is determined.

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English version:
Automation and Remote Control, 2005, 66:8, 1214–1223

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Presented by the member of Editorial Board: Б. М. Миллер

Received: 16.01.2002

Citation: G. I. Ibragimov, “A group pursuit game”, Avtomat. i Telemekh., 2005, no. 8, 24–35; Autom. Remote Control, 66:8 (2005), 1214–1223

Citation in format AMSBIB
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\by G.~I.~Ibragimov
\paper A~group pursuit game
\jour Avtomat. i Telemekh.
\yr 2005
\issue 8
\pages 24--35
\mathnet{http://mi.mathnet.ru/at1413}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2163835}
\zmath{https://zbmath.org/?q=an:1113.91009}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 8
\pages 1214--1223
\crossref{https://doi.org/10.1007/s10513-005-0162-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-24144435400}


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