Asymptotic behavior of Timoshenko beam with dissipative boundary feedback
文献类型：期刊论文
| 作者 | Yan, QY; Hou, SH; Feng, DX |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2002-05-15 |
| 卷号 | 269期号:2页码:556-577 |
| 关键词 | Timoshenko beam boundary feedback C-0-semigroups asymptotic stability exponential stability |
| ISSN号 | 0022-247X |
| 英文摘要 | This paper is concerned with the stabilization problem of Timoshenko beam in the presence of linear dissipative boundary feedback controls. Using C-0-semigroups theory we establish the existence and the uniqueness of solution of the proposed closed loop system. In order to consider the asymptotic behavior of the closed loop system, we first discuss the existence of nonzero solution of a closely related boundary value problem, Then we derive various necessary and sufficient conditions for the system to be asymptotically stable. Finally, we prove the equivalence between the exponential stability and the asymptoic stability for the closed loop system. (C) 2002 Elsevier Science (USA). All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000176499500012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17184]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Feng, DX |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, QY,Hou, SH,Feng, DX. Asymptotic behavior of Timoshenko beam with dissipative boundary feedback[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2002,269(2):556-577. |
| APA | Yan, QY,Hou, SH,&Feng, DX.(2002).Asymptotic behavior of Timoshenko beam with dissipative boundary feedback.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,269(2),556-577. |
| MLA | Yan, QY,et al."Asymptotic behavior of Timoshenko beam with dissipative boundary feedback".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 269.2(2002):556-577. |
入库方式： OAI收割
来源：数学与系统科学研究院
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