<p>This paper focuses on optimal feedback control for a class of damped second-order neutral evolution inclusions involving hemivariational inequalities. Initially, we establish the existence of mild solutions to the second-order system using nonsmooth analysis, hemivariational inequality theory, and fixed point theorem for multivalued mappings. Subsequently, we introduce a novel set of sufficient assumptions, by using the Filippove theorem and the Cesari property to ensure the existence of feasible pairs in feedback control systems. In the end, an application is presented to highlight our primary findings.</p>