Boundary feedback stabilization of Timoshenko beam with boundary dissipation

被引：38

作者：

Feng, DX ^{[1
]}

Shi, DH ^{[1
]}

Zhang, WT ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 05期

关键词：

Timoshenko beam; boundary feedback control; nonlinear semigroup; energy perturbed method;

D O I：

10.1007/BF02879936

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear boundary feedback control to a Timoshenko beam is studied. Under some nonlinear boundary feedback controls, the nonlinear semi-group theory is used to show the well-posedness for the correspnding closed loop system. Then by using the energy perturbed method, it is proved that the vibration of the beam under the proposed control actions decays asymptotically or exponentially as t --> infinity.

引用

页码：483 / 490

页数：8

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