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A Group Pursuit Game

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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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Authors and Affiliations

  1. University of World Economy and Diplomacy, Tashkent, Uzbekstan

    G. I. Ibragimov

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  1. G. I. Ibragimov
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__________

Translated from Avtomatika i Telemekhanika, No. 8, 2005, pp. 24–35.

Original Russian Text Copyright © 2005 by Ibragimov.

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Ibragimov, G.I. A Group Pursuit Game. Autom Remote Control 66, 1214–1223 (2005). https://doi.org/10.1007/s10513-005-0162-6

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  • DOI: https://doi.org/10.1007/s10513-005-0162-6

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