GUARANTEED PURSUIT TIME OF A LINEAR DIFFERENTIAL GAME WITH GENERALIZED GEOMETRIC CONSTRAINTS ON PLAYERS CONTROL FUNCTIONS

Source abstract

In this study, simple motion differential game of one pursuer and oneevader is considered in Rn. Control functions of the players are subject tomore generalized geometric constraints. Pursuit is said to be completedat a finite time Γ whenever the distance between both players at time Γis zero.We obtain an estimate for the guaranteed pursuit time Γ and constructpursuer’s strategy that ensure completion of pursuit at the time Γ.