Optimal control of a quasi-variational obstacle problem

15 pages, à paraître dans Journal of Global OptimizationInternational audienceWe 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