Optimal control of feedback control systems governed by systems of evolution Hemivariational Inequalities

Abstract

This paper is mainly concerned with the feedback control systems governed by systems of evolution hemivariational inequalities.
By using the properties of multimaps and partial Clarke's subdifferentials, we formulate some sufficient conditions to guarantee the existence
result of feasible pairs of the feedback control systems. We also present an existence result of optimal control pairs for an optimal control
system. We emphasize that our results cannot be obtained straightforwardly from the previous works.