Frequency analysis of a wave equation with Kelvin-Voigt damping

Bao Zhu Guo*, Jun Min Wang, Guo Dong Zhang

*此作品的通讯作者

科研成果: 书/报告/会议事项章节会议稿件同行评审

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.

源语言英语
主期刊名Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
出版商Institute of Electrical and Electronics Engineers Inc.
4471-4476
页数6
ISBN(印刷版)9781424438716
DOI
出版状态已出版 - 2009
活动48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, 中国
期限: 15 12月 200918 12月 2009

出版系列

姓名Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0743-1546
ISSN(电子版)2576-2370

会议

会议48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
国家/地区中国
Shanghai
时期15/12/0918/12/09

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