Regional Optimal Control Problem Governed by Distributed Bi-linear Hyperbolic Systems

被引：0
|
作者：
Rabie Zine
Maawiya Ould Sidi
机构：
[1] Prince Sattam Bin Abdulaziz University,Department of Mathematics, Faculty of Sciences and Humanities in Aflaj
[2] Jouf University,Department of Mathematics, College of Science
来源：
International Journal of Control, Automation and Systems | 2018年 / 16卷
关键词：
Adjoint systems; bi-linear optimal control; regional analysis; simulations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers the regional bi-linear control problem of an important class of hyperbolic systems. The objective is to bring the state solutions at time T close to a desired observations wd only on a sub-region ω along the spatial domain Ω. We prove the existence of solution by minimizing sequence method. The adjoint system of this problem is introduced and used to characterize the optimal control. A numerical approach is developed and illustrated successfully by simulations.
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页码：1060 / 1069
页数：9
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