On the linear evasion differential games of many pursuers and one evader with integral constraints

  • № 2 (4) 2018

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Аннотация

We study a linear evasion differential game of one evader from many pursuers with integral constraints on control functions of players. The terminal set is union of a finite number of subspaces. The critical case where ―rotatability‖ condition fails to hold is studied. More precisely, when projections of control sets are segments parallel to coordinate axes, effectively verifiable sufficient conditions of evasion are obtained. The evasion is sequentially implemented from each of pursuers. To construct the evasion control, the initial positions, current states and controls of pursuers are used.

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