Boundary Control for 2 ×2 Elliptic Systems with Conjugation Conditions

作     者：Ahlam Hasan Qamlo Bahaa Gaber Mohammed 

作者机构：Department of Mathematics Faculty of Applied Sciences Umm AL-Qura University Makkah KSA Department of Mathematics Faculty of Science Taibah University Madina KSA 

出 版 物：《Intelligent Control and Automation》 (智能控制与自动化（英文）)

年 卷 期：2013年第4卷第3期

页      面：280-286页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Boundary Control Elliptic Systems Conjugation Conditions Non-Cooperative Systems Neumann Conditions 

摘      要：In this paper, we consider 2 × 2 non-cooperative elliptic system involving Laplace operator defined on bounded, continuous and strictly Lipschitz domain of Rn. First we prove the existence and uniqueness for the state of the system under conjugation conditions;then we discuss the existence of the optimal control of boundary type with Neumann conditions, and we find the set of equations and inequalities that characterize it.