Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations

We study a differential evasion game of multiple pursuers and an evader governed by several infinite systems two-block equations in the Hilbert space l2. Geometric constraints are imposed on players’ control functions. If state controlled system falls into origin l2 at some finite time, then pursuit is said to be completed game. The aim transfer least one l2, while purpose prevent it. A sufficient condition obtained from any initial states strategy constructed for evader.