Easy test for stability of laminated beams with structural damping and boundary feedback controls

被引：67
|
作者：
Cao, Xue-Guang [1 ]
Liu, Dong-Yi [1 ]
Xu, Gen-Qi [1 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2007年 / 13卷 / 03期
基金：
中国国家自然科学基金;
关键词：
laminated beams; boundary feedback; exponential stability; test method;
D O I：
10.1007/s10883-007-9022-8
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider the test problem of stability of the closed loop system composed of laminated beams with structural damping and boundary feedback controls. We give a simple test method of verifying the exponential stability of the closed loop system. The test system consists of the dominant parts of the closed loop system. Under certain condition, we show that if the, test system is exponentially stable, then the closed loop system is also exponentially stable and the eigenvalues of the test system are asymptotic eigenvalues of the closed loop system.
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页码：313 / 336
页数：24
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