Stabilization of elastic plates with variable coefficients and dynamical boundary control

被引：6

作者：

Guo, YX ^{[1
]}

Chai, SG

Yao, PF

机构：

[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China

[2] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[3] Shanxi Univ, Dept Math, Taiyuan 03006, Peoples R China

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2002年 / 60卷 / 02期

关键词：

hybrid system; boundary feedback; rational energy decay rate; Riemannian geometry method;

D O I：

10.1090/qam/1900498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to investigate the stabilization of a hybrid system composed of a plate equation with variable coefficients and two ordinary differential equations under some suitable feedbacks. A rational energy decay rate is established by the multiplier method and the Riemannian geometry method, and the uniform energy decay rate for a simplified system is obtained.

引用

页码：383 / 400

页数：18

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