Optimal Control in Superpotential for Evolution Hemivariational Inequality
نویسنده
چکیده
In this paper we study the optimal control of system driven by hemivariational inequality of second order. First, we establish the existence of solutions to hemivariational inequality which contains nonlinear pseudomonotone evolution operator. Introducing a control variable in the multivalued term of the generalized subdifferential, we prove the closedness (in suitable topologies) of the graph of the solution map. Then we use this result and the direct method of the calculus of variations to show the existence of optimal admissible state–control pairs. Key–Words: Hemivariational inequality, pseudomonotone operator, multifunction, optimal control problem, Clarke’s subdifferential, constitutive law.
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