TITLE:
Regional Controllability of Semi-Linear Distributed Parabolic Systems: Theory and Simulation
AUTHORS:
Asmae Kamal, Ali Boutoulout, Sidi Ahmed Ould Beinane
KEYWORDS:
Semi-Linear Parabolic Systems; Regional; Internal/Boundary Controllability; Fixed-Point Theorems; Distributed System; HUM Approach
JOURNAL NAME:
Intelligent Control and Automation,
Vol.3 No.2,
May
23,
2012
ABSTRACT: The aim of this brief paper is to give several results concerning the regional controllability of distributed systems governed by semi-linear parabolic equations. We concentrate on the determination of a control achieving internal and boundary regional controllability. The approach is based on an extension of the Hilbert Uniqueness Method (HUM) and Schauder’s fixed point theorem. We give a numerical example developed in internal and boundary sub region. These numerical illustrations show the efficiency of the approach and lead to conjectures.