Close regulator for evolutional inclusion of subdifferential type

Abstract

A problem of an optimal stabilization for evolutional inclusion of subdifferential type with non-Lipschitz multi-valued interaction function εF(y), where ε > 0 is a mall parameter, is considered. Under the condition where ε = 0 the problem admits optimal regulator u[y], it is proved that the formula u[y] guarantees approximated stabilization of the initial problem under small ε > 0.