On intersections of abelian and nilpotent subgroups in finite groups. I |
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Authors: | V I Zenkov |
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Institution: | 1.Udmurt State University,Izhevsk,Russia |
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Abstract: | We consider Pontryagin’s generalized nonstationary example with identical dynamic and inertial capabilities of the players under phase constraints on the evader’s states. The boundary of the phase constraints is not a “death line” for the evader. The set of admissible controls is a ball centered at the origin, and the terminal sets are the origin. We obtain sufficient conditions for a multiple capture of one evader by a group of pursuers in the case when some functions corresponding to the initial data and to the parameters of the game are recurrent. |
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