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Natural SciencesMathematicsDynamical SystemsOptimizationConstrained OptimizationOptimal ControlOptimization TheoryVariational FormulationVariational InequalitiesConstrained Variational ProblemsOptimal Control FormulationOptimality ConditionsState-constrained Optimal ControlVariational Inequality Existence TheoremsVariational Inequality ProblemsVariational Inequality TheoryVariational Problems
We study the optimal control of systems governed by variational inequalities. We transform the problem into a linear problem with constraints on the state. With this formulation, the existence of necessary optimality conditions is proven for a large class of problems. Numerical algorithms are deduced.