Optimal Control of Abstract Elliptic Variational Inequalities with State Constraints

Maïtine Bergounioux (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

In this paper we investigate optimal control problems governed by elliptic variational inequalities with additional state-constraints. We present a relaxed formulation for the problem. With penalization methods and approximation techniques we give qualification conditions to get first order optimality conditions.

Keywords: State and Control Constrained Optimal Control Problems; Variational Inequalities; Optimality Conditions

Domains: Optimization and Control [math.OC]

Maïtine Bergounioux. Optimal Control of Abstract Elliptic Variational Inequalities with State Constraints. SIAM Journal on Control and Optimization, 1998, 36, n°1, pp.273-289. ⟨hal-00022987⟩