Regional optimal control problem with minimum energy for a class of bilinear distributed systems

被引:6
|
作者
Zine, Rabie [1 ]
Sidi, Maawiya Ould [2 ]
机构
[1] Prince Sattam Bin Abdulaziz Univ, Fac Sci & Humanities, Dept Math, Al Kharj, Saudi Arabia
[2] Aljouf Univ, Dept Math, Fac Sci, Sakakah, Saudi Arabia
关键词
bi-linear systems; wave equation; regional control problems; optimal control; WAVE-EQUATION; CONTROLLABILITY; DECAY;
D O I
10.1093/imamci/dnx022
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The aim of this paper is to propose a method for solving a regional control problem with minimum energy for a system governed by a wave equation via bi-linear bounded control. Using optimal control techniques, we show how to bring the solution for a two-dimensional wave equation with control act as multiplier of the state, close to a desired profile only on a subregion of the system domain.
引用
收藏
页码:1187 / 1199
页数:13
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