VECTOR MEASURES FOR OPTIMAL CONTROLOF IMPULSIVE SYSTEMS IN BANACH SPACES

Abstract

In this paper we consider the questions of existence of optimal controls using vector measures for a general class of impulsive systems in in finite dimensional Banach space. This class includes the classical model widely studied in the literature. We study the questions of existence and regularity properties of solutions for these models and prove existence of optimal controls. The paper is concluded with comments on some open problems.