OPTIMAL RELAXED CONTROLS FOR SYSTEMS GOVERNED BY IMPULSIVE DIFFERENTIAL INCLUSIONS

Abstract

In this paper we consider optimal control problems for a class of impulsive systems governed by Differential inclusions on Banach spaces. For each fixed control policy, we prove the existence of a nonempty set of solutions for the system. Using this we then prove the existence of optimal controls for certain control problems including min-max games. The paper is concluded with some comments on open problems in the area.