The Riesz basis property of a Timoshenko beam with boundary feedback and application

被引：49
|
作者：
Xu, GQ [1 ]
Feng, DX
机构：
[1] Shanxi Univ, Dept Math, TaiYuan 030006, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
IMA JOURNAL OF APPLIED MATHEMATICS | 2002年 / 67卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Timoshenko beam; boundary feedback; generalized eigenvector system; Riesz basis;
D O I：
10.1093/imamat/67.4.357
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Riesz basis property of the generalized eigenvector system of a Timoshenko beam with boundary feedback is studied. Firstly, two auxiliary operators are introduced, and the Riesz basis property of their eigenvector systems is proved. This property is used to show that the generalized eigenvector system of a Timoshenko beam with some linear boundary feedback forms a Riesz basis in the corresponding state space. Finally, it is concluded that the closed loop system exhibits exponential stability.
引用
收藏
页码：357 / 370
页数：14
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