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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.
In  and  the author introduces the notion of filiform Lie superalgebras, generalizing the filiform Lie algebras studied by Vergne in the sixties. In these appers, the superalgebras whose even part is isomorphic to the model filiform Lie algebra Ln are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part… (More)