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A pursuit–evasion game with one curvature constraint

✍ Scribed by Hung-Jen Chu; Jer-Guang Hsieh; Yuan-Shun Lee; Kuo-Hsien Hsia

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
197 KB
Volume
21
Category
Article
ISSN
0143-2087

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✦ Synopsis

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 the game is terminated is selected as the cost function. To solve such a zero-sum game, a Hamiltonian approach is applied. An algorithm is proposed to determine a saddle point and the value of the game under consideration.

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