Optimal control of a quasi-variational obstacle problem

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. Keywords Optimal control, quasi-variational inequalities, Mosco convergence.

• Type: Journal
• Year: 2010
• Where: JGO
• Authors: Samir Adly, Maïtine Bergounioux, Mohamed Ait Mansour
• Keywords: Generalized Obstacle Problem, JGO 2010, Keywords Optimal Control, Optimal Control