✦ LIBER ✦

Primary strategies of simple pursuit in differential games on two-sided plane figures

✍ Scribed by A.A. Melikyan

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 737 KB
Volume: 68
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2004.07.007

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✦ Synopsis

Differential games of simple pursuit in which the game space is a plane two-sided figure are considered. The players may go from one side to the other through an edge of the figure or cuts in it. Examples of such spaces are a circular disk, a rectangle and a two-sided plane with a circular cut. Conditions for the existence of singular pursuit trajectories are investigated. A sufficient condition is found (in terms of the geometrical parameters of the figure and the ratio of the players' speeds) for the existence of a simple pursuit strategy.

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