An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator

• 作者: Ahlam Hasan Qamlo
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: HYPERBOLIC Systems Schr?dinger OPERATOR BOUNDARY Control Problem BOUNDARY Observation COOPERATIVE
• 年，卷（期）: 2014,（4）
• 页码范围: 262-271
• 页数: 10页
• 分类号: O1

摘要

In this paper, we consider cooperative hyperbolic systems involving Schr?dinger operator defined on ?Rn. First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.