Abstract
This paper considers Pontryagin’s generalized nonstationary example with several participants under the same dynamic and inertial capabilities of the players, in which the set of admissible control actions is a convex compact set and the terminal sets are convex compact sets. We obtain sufficient conditions for the multiple capture of one evader by a group of pursuers under the assumption that some functions associated with the initial data and game parameters are almost periodic. Each pursuer cannot make a capture more than once before being eliminated from the game. Such a situation may happen when the evader must be “terminated” but contact between the pursuer and the evader does not guarantee termination.
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