Problems of Group Pursuit with Integral Constraints on Controls of the Players. II1

Abstract

The paper studies problems of group pursuit for differential games with integral constraints imposed on the controls of players such as the Pontryagin control example and a group pursuit with a simple motion for the case of l-catch. The problems are solved on the basis of Chikrii's method of resolving functions. A structure to construct the resolving function is proposed, which substantiates the parallel approach strategy, i.e., the ?-strategy for pursuers. New sufficient solvability conditions for problems of group pursuit are obtained.