Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

Maïtine Bergounioux (1) , Housnaa Zidani (1)

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

In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle. The main tools used are the Ekeland's variational principle combined with penalization and spike variation techniques.

Mots clés: Variational Inequalities; Optimal Control; Pontryagin Principle

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux, Housnaa Zidani. Pontryagin Maximum Principle for Optimal Control of Variational Inequalities. SIAM Journal on Control and Optimization, 1999, 37, n°4, pp. 1273-1290. ⟨hal-00023013⟩