An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities

J. Frederic Bonnans (1) , Eduardo Casas

1 PROMATH - Mathematical Programming

This paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability conditions of the optimal cost with respect to the state constraints.

Domaines: Autre [cs.OH]; Optimisation et contrôle [math.OC]

J. Frederic Bonnans, Eduardo Casas. An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. [Research Report] RR-1747, INRIA. 1992. ⟨inria-00076987⟩