Evasion differential game of two pursuers and one evader

We study a linear evasion differential game of two pursuers and one evader. We impose geometric constraints on the control parameters of players. The control sets of pursuers are unit balls, and that of evader is the ball of radius σ,σ>1. Evasion is said to be possible if the state of the evader doesn't coincide with the state of any pursuer for all time. We construct an evasion strategy for the evader that guarantees the evasion from any initial positions of players. Also, we introduce the concept of approach times. We show that the number of approach times doesn't exceed 3.

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