Exponential stabilization of the transmission wave equation with dynamical boundary conditions and a delay term

被引：0

作者：

Guo, Zhiling ^{[1
]}

Chai, Shugen ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 12期

基金：

中国国家自然科学基金;

关键词：

dynamical boundary; problem of transmission; stabilization; time delays; wave equation; FEEDBACK STABILIZATION; CONTROLLABILITY; STABILITY;

D O I：

10.1002/mma.8278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider stabilization of transmission of the wave equation with dynamical boundary conditions that include a delay term acts on the boundary. By introducing suitable energy function, we prove under some assumptions that the closed-loop system is exponentially stable. In addition, we also consider the situation where the above system is controlled by distributed feedback near the transmission boundary and can also obtain exponential stability estimates with fewer assumptions.

引用

页码：7794 / 7813

页数：20

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