Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach
文献类型：期刊论文
| 作者 | Wang, JM; Guo, BZ ; Chentouf, B
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| 刊名 | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
 |
| 出版日期 | 2006 |
| 卷号 | 12期号:1页码:12-34 |
| 关键词 | Riesz basis sandwich beam exponential stability exact controllability |
| ISSN号 | 1262-3377 |
| DOI | 10.1051/cocv:2005030 |
| 英文摘要 | In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss class as well as the exact controllability are also addressed. |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000233972300002 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3057]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wang, JM |
| 作者单位 | 1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 4.Sultan Qaboos Univ, Dept Math & Stat, Muscat, Oman |
| 推荐引用方式 GB/T 7714 | Wang, JM,Guo, BZ,Chentouf, B. Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2006,12(1):12-34. |
| APA | Wang, JM,Guo, BZ,&Chentouf, B.(2006).Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,12(1),12-34. |
| MLA | Wang, JM,et al."Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 12.1(2006):12-34. |
入库方式： OAI收割
来源：数学与系统科学研究院
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