Stabilization of vibrating beam with a tip mass controlled by combined feedback forces
文献类型：期刊论文
| 作者 | Li, SJ; Wang, YT; Liang, ZD; Yu, JY; Zhu, GT |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2001-04-01 |
| 卷号 | 256期号:1页码:13-38 |
| 关键词 | beam equation boundary feedback control Riesz basis exponential stabilization optimal exponential decay rate |
| ISSN号 | 0022-247X |
| 英文摘要 | A flexible structure consisting of a Euler-Bernoulli beam with a tip mass is considered. To stabilize this system we use a boundary control laws: -u(xxx)(l, t) + mu(tt)(l, t) = - alphau(t)(l, t) + betau(xxxt)(l, t) and u(xx)(l, t) = - gammau(xt)(l, t). A sensitivity asymptotic analysis of the system's eigenvalues and eigenfunctions is set up. We prove that all of the generalized eigenfunctions of (2.9) form a Riesz basis of H By a new method, we prove that the operator A generates a C-0 contraction semigroup T(t), t greater than or equal to 0. Furthermore T(t), t greater than or equal to 0, is uniformly exponentially stable and the optimal exponential decay rate can be obtained from the spectrum of the system. (C) 2001 Academic Press. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000167833300002 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16300]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, SJ |
| 作者单位 | 1.Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China 2.Inst Informat & Control, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, SJ,Wang, YT,Liang, ZD,et al. Stabilization of vibrating beam with a tip mass controlled by combined feedback forces[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,256(1):13-38. |
| APA | Li, SJ,Wang, YT,Liang, ZD,Yu, JY,&Zhu, GT.(2001).Stabilization of vibrating beam with a tip mass controlled by combined feedback forces.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,256(1),13-38. |
| MLA | Li, SJ,et al."Stabilization of vibrating beam with a tip mass controlled by combined feedback forces".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 256.1(2001):13-38. |
入库方式： OAI收割
来源：数学与系统科学研究院
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