Frequency Analysis of a Wave Equation with Kelvin-Voigt Damping

被引：1
|
作者：
Guo, Bao-Zhu [1 ,2 ]
Wang, Jun-Min [3 ]
Zhang, Guo-Dong [2 ]
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Univ Witwatersrand, Sch Computat & Appl Sci, ZA-2050 Johannesburg, South Africa
[3] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
基金：
新加坡国家研究基金会; 中国国家自然科学基金;
关键词：
EULER-BERNOULLI BEAM; RIESZ BASIS PROPERTY; EXPONENTIAL STABILITY; STABILIZATION; SPECTRUM; FEEDBACK; SYSTEM;
D O I：
10.1109/CDC.2009.5399989
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A vibrating system with some kind of internal damping represents a distributed or passive control. In this article, a wave equation with clamped boundary conditions and internal Kelvin-Voigt damping is considered. It is shown that the spectrum of system operator is composed of two parts: point spectrum and continuous spectrum. The point spectrum is consist of isolated eigenvalues of finite algebraic multiplicity, and the continuous spectrum is an interval on the left real axis. The asymptotic behavior of eigenvalues is presented.
引用
收藏
页码：4471 / 4476
页数：6
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