Optimal control of semi linear infinite dimensional systems: Theory & Simulations

Abstract

The aim of this thesis is to study the notion of the controllability of a class of the semi linear systems on a boundary sub region of the evolution domain Ω. We give an extension of previous work on optimal control theory of distributed systems to the case of nonlinear systems a type semi linear. We introduce the notion of gradient optimal control of distributed semi linear systems. The idea focus on the characterization of the control achieving a regional boundary target with minimum energy. Using optimization techniques. The results which are performed through numerical examples and simulations. This studies leads to many open problems as the optimal control of semi linear systems.