Optimality of Distributed Control for <i>n ×n</i>Hyperbolic Systems with an Infinite Number of Variables

• 作者: Ahlam Hasan Qamlo
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Hyperbolic Operators Cooperative Systems Spaces With AN Infinite Number of VARIABLES Existence and Uniqueness of Solutions Distributed CONTROL Problems CONTROL Constraints Variable Coefficients
• 年，卷（期）: 2013,（6）
• 页码范围: 598-608
• 页数: 11页
• 分类号: O1

摘要

In this paper, we study the existence of solutions for 2l order (n × n) cooperative systems governed by Dirichlet and Neumann problems involving hyperbolic operators with an infinite number of variables and with variable coefficients. The necessary and sufficient conditions for optimality of the distributed control with constraints are obtained and the set of inequalities that defining the optimal control of these systems are also obtained.