PURSUIT DIFFERENTIAL GAME PROBLEM WITH INTEGRAL AND GEOMETRIC CONSTRAINTS IN A HILBERT SPACE

J. Rilwan, A. J. Badakaya

Abstract


We study pursuit  differential game problem with countable number of pursuers and one evader. Control functions of some finite number of pursuers are subject to integral constraints while that of the remaining pursuers and evader are subject to geometric constraint. Sufficient conditions for completion of pursuit in two different theorems are presented. Moreover, attainability domains and  strategies of the players are also constructed. Furthermore, illustrative examples are given.

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