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A problem of group pursuit with phase constraints

✍ Scribed by D.A. Vagin; N.N. Petrov

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
452 KB
Volume
66
Category
Article
ISSN
0021-8928

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✦ Synopsis

The necessary and sufficient conditions for the capture of at least one evader are obtained in a problem of the simple pursuit of evaders by a group of pursuers, subject to the condition that the evaders use the same control and do not leave the limits of a polyhedral set.

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In this paper, a pursuit}evasion game, in which the pursuer moves with simple motion whereas the evader moves at a "xed speed but with a curvature constraint, is investigated. The game is the inverse of the usual homicidal chau!eur game. Square of the distance between the pursuer and the evader when