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. |
| 页 | 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 2009 → 18 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 |
| 市 | Shanghai |
| 时期 | 15/12/09 → 18/12/09 |
指纹
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Guo, B. Z., Wang, J. M., & Zhang, G. D. (2009). Frequency analysis of a wave equation with Kelvin-Voigt damping. 在 Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (页码 4471-4476). 文章 5399989 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5399989