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.
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页码：383 / 400
页数：18
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