Regional Controllability of Semi-Linear Distributed Parabolic Systems: Theory and Simulation

• 作者: Ali Boutoulout Asmae Kamal Sidi Ahmed Ould Beinane
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: SEMI-LINEAR Parabolic Systems Regional Internal/Boundary Controllability FIXED-POINT THEOREMS DISTRIBUTED System HUM Approach
• 年，卷（期）: 2012,（2）
• 页码范围: 146-158
• 页数: 13页
• 分类号: O1

摘要

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.