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Zbl 1153.91348
Leong, Wah June; Gafurjan, Ibragimov I.
A multiperson pursuit problem on a closed convex set in Hilbert space. (English)
[J] Far East J. Appl. Math. 33, No. 2, 205-214 (2008). ISSN 0972-0960

Summary: A differential game of pursuit of an evader by a finite number of pursuers on a closed convex set in $l_2$-space is studied. The game is described by simple differential equations and players' controls obeyed the integral constraints. The game is deemed to be completed if exact contact of a pursuer with the evader is occured. It is shown that even if the resources for controls of an individual pursuer is less than that of the evader, the completion of game is still possible.

MSC 2000:: *91A23 Differential games
49N70 Differential games
49N75 Pursuit and evasion games

Keywords: pursuit; Hilbert space; integral constraints; closed convex set

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