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

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2018年 / 35卷 / 04期

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

页码：1187 / 1199

页数：13

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