Constrained Optimal Control for a Class of Semilinear Infinite Dimensional Systems.

The aim of this paper is to investigate a constrained optimal control problem governed by a class of semilinear infinite dimensional systems. For a state-quadratic cost functional and a closed convex set of admissible controls, the existence of an optimal control is proven, then this control is characterized for several cases of constraints. An algorithm is developed in order to compute the optimal control. The results are illustrated through simulations of a transport equation and a wave equation. [ABSTRACT FROM AUTHOR]