Exponential Decay Rate for a Timoshenko Beam with Boundary Damping

被引：0
|
作者：
G. Q. Xu
S. P. Yung
机构：
[1] Tianjin University,Department of Mathematics
[2] University of Hong Kong,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2004年 / 123卷
关键词：
Timoshenko beam equation; boundary damping; Riesz system; rate of exponential decay; exponential stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The exponential decay rate of a Timoshenko beam system with boundary damping is studied. By asymptotically analyzing the characteristic determinant of the system, we prove that the Timoshenko beam system is a Riesz system; hence, its decay rate is determined via its spectrum. As a consequence, by showing that the imaginary axis neither has an eigenvalue on it nor is an asymptote of the spectrum, we conclude that the system is exponentially stable.
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页码：669 / 693
页数：24
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