Position control in integro-differential pursuit games (Q1407066)

The authors consider a conflict-controlled process described by a system of integro-differential equations. In this way is analyzed a game problem of pursuit for a dynamic process. All integrals considered into the system are regarded in the sense of Lebesgue. The game model is built from the point of view of the pursuer whose objective is to bring the trajectory of the system considered as soon as possible to a certain set for any admissible control of the evader. Model examples are presented.