Optimality Conditions for Control Problems Governed by Variational Inequalities
Copyright policy )Optimality Conditions for Control Problems Governed by Variational Inequalities
This paper deals with the theory of first-order necessary conditions of optimality for nonsmooth control problems governed by variational inequalities. We present a general approach in which necessary conditions of first-order are obtained by means of differentiation tools based on epi-convergence of second-order differential quotients.
set-valued map, optimality conditions, first-order necessary optimality conditions, Nonsmooth analysis, Optimality conditions for problems in abstract spaces, epi-convergence, Variational inequalities, epi-convergence of second-order differential quotients, nonsmooth control, nonsmooth control problems, contingent derivative, Optimal control problems with differential inclusions (nec./ suff.), variational inequalities
set-valued map, optimality conditions, first-order necessary optimality conditions, Nonsmooth analysis, Optimality conditions for problems in abstract spaces, epi-convergence, Variational inequalities, epi-convergence of second-order differential quotients, nonsmooth control, nonsmooth control problems, contingent derivative, Optimal control problems with differential inclusions (nec./ suff.), variational inequalities
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