Regional Optimal Control Problem for the Vibrating Plate

被引：0
作者：
Zerrik E. [1 ]
Aadi A.A. [1 ]
Larhrissi R. [1 ]
机构：
[1] University of Moulay Ismail, Meknes
来源：
Journal of Mathematical Sciences | 2023年 / 276卷 / 2期
关键词：
93C20; 93D15; distributed bilinear system; optimal control; plate equation; regional controllability;
D O I：
10.1007/s10958-023-06736-z
中图分类号：
学科分类号：
摘要：
In this paper, we examine the problem on the regional optimal control of a vibrating plate in a spatial domain Ω. We obtain a bounded control that drives such a system from an initial state to a desired state in a finite time, only on a subdomain ω of Ω. We prove that a regional optimal control exists characterize this control. Also we propose a condition that ensures the uniqueness of an optimal control and develop an algorithm for numerical simulations. © 2023, Springer Nature Switzerland AG.
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页码：216 / 226
页数：10
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