BOUNDARY CONTROLLABILITY AND BOUNDARY TIME-VARYING FEEDBACK STABILIZATION OF THE 1D WAVE EQUATION IN NON-CYLINDRICAL DOMAINS

被引：4

作者：

Yacine, Mokhtari ^{[1
,2
]}

机构：

[1] Univ Bourgogne Franche Comte, Lab Math, UMR 6623, 16 Route Gray, F-25030 Besancon, France

[2] Univ Sci & Technol Houari Boumedienne, POB 32, Algiers 16111, Algeria

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 02期

关键词：

Wave equation; controllability; stability; non-cylindrical domains; OBSERVABILITY;

D O I：

10.3934/eect.2021004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with boundary controllability and boundary stabilizability of the 1D wave equation in non-cylindrical domains. By using the characteristics method, we prove under a natural assumption on the boundary functions that the 1D wave equation is controllable and stabilizable from one side of the boundary. Furthermore, the control function and the decay rate of the solution are given explicitly.

引用

页码：373 / 397

页数：25

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