Variational analysis and optimal control of dynamic unilateral contact models with friction

Abstract

The target of the present work is to consider the optimal control for a class of evolutionary variational–hemivariational inequalities, which modeling the dynamic viscoelastic unilateral contact problems with normal damped response and friction. After studying the weak solvability of the unilateral contact model, we consider its optimal control by three aspects, the optimal control via external forces and initial conditions, the time optimal control problem and the maximum stay control problem. Finally, the conditions which guarantee the existence of optimal solutions to the corresponding control problems are delivered.