Qualitative Criterion for Interception in a Pursuit/Evasion Game

Details Qualitative Criterion for Interception in a Pursuit/Evasion Game Qualitative Criterion for Interception in a Pursuit/Evasion Game

2009-01-11

arxiv.org/abs/0901.1416v4

Mathematics

Optimization and Control

8 pages; revsions and corrigenda

Scientific paper

A qualitative account is given of a differential pursuit/evasion game. A criterion for the existence of an intercept solution is obtained using future cones that contain all attainable trajectories of target or interceptor originating from an initial position. A sufficient and necessary conditon that an opportunity to intercept always exist is that, after some initial time, the future cone of the target be contained within the future cone of the interceptor. The sufficient condition may be regarded as a kind of Nash equillibrium.

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