Optimal control of feedback control systems governed by systems of evolution hemivariational inequalities

Lu-Chuan Ceng, Zhenhai Liu, Jen-Chih Yao, Yonghong Yao

In this paper, we introduce and consider a feedback control system governed by the system of evolution hemivariational inequalities. Several sufficient conditions are formulated by virtue of the properties of multimaps and partial Clarke’s subdifferentials such that the existence result of feasible pairs of the feedback control systems is guaranteed. Moreover, an existence result of optimal control pairs for an optimal control system is also established.