Optimal control of a quasi-variational obstacle problem

Samir Adly (1) , Maïtine Bergounioux (2) , Mohamed Ait Mansour (3)

1 DMI
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 XLIM - XLIM

We consider an optimal control where the state-control relation is given by a quasi-variational inequality, namely a generalized obstacle problem. We give an existence result for solutions to such a problem. The main tool is a stability result, based on the Mosco-convergence theory, that gives the weak closeness of the control-to-state operator. We end the paper with some examples.

Mots clés: Optimal contro; quasi-variational inequalities; Mosco convergence

Domaines: Optimisation et contrôle [math.OC]

Samir Adly, Maïtine Bergounioux, Mohamed Ait Mansour. Optimal control of a quasi-variational obstacle problem. 2006. ⟨hal-00092013v1⟩