On the C-0-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam
文献类型：期刊论文
| 作者 | Guo, BZ ; Wang, JM; Yung, SP
|
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2005-06-01 |
| 卷号 | 54期号:6页码:557-574 |
| 关键词 | Riesz basis C-0-semigroup differentiable semigroup stability |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2004.10.006 |
| 英文摘要 | In this paper, we show that a linear unbounded operator associated with an Euler-Bemoulli beam equation under shear boundary feedback generates a C-0-semigroup in the underlying state Hilbert space. This provides an answer to a long time unsolved problem due to the lack of dissipativity for the operator. The main steps are a careful estimation of the Green's function and the verification of the Riesz basis property for the generalized eigenfunctions. As a consequence, we show that this semigroup is differentiable and exponentially stable, which is in sharp contrast to the properties possessed by most feedback controlled beams based on a passive design principle. © 2005 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000229108400005 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2279]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Guo, BZ |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 3.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, BZ,Wang, JM,Yung, SP. On the C-0-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam[J]. SYSTEMS & CONTROL LETTERS,2005,54(6):557-574. |
| APA | Guo, BZ,Wang, JM,&Yung, SP.(2005).On the C-0-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam.SYSTEMS & CONTROL LETTERS,54(6),557-574. |
| MLA | Guo, BZ,et al."On the C-0-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam".SYSTEMS & CONTROL LETTERS 54.6(2005):557-574. |
入库方式： OAI收割
来源：数学与系统科学研究院
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