Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping
文献类型：期刊论文
| 作者 | Li, SJ; Yu, JY; Liang, ZD; Zhu, GT |
| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
 |
| 出版日期 | 1999 |
| 卷号 | 37期号:6页码:1767-1779 |
| 关键词 | generalized viscous damping eigenfrequencies feedback control exponential decay |
| ISSN号 | 0363-0129 |
| 英文摘要 | In this paper, using the one-dimensional vibrating beam equation with generalized viscous damping as a model of vibration of flexible robot arms, it is shown that for such a system the high eigenmodes decay at a uniform rate. The proof is obtained by perturbation theory of linear operators [Y. H. Luo, Acta Math. Sinica, 32 (1991), pp. 556-563] and asymptotic estimates of eigenvectors based on an earlier work of G. B. Birkhoff and M. H. Stone. Feedback control for this class of system is investigated, and a finite-dimensional controller is presented for an exponentially stable closed-loop system. Our method may be used to study nondissipative systems. |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000083607900007 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14237]  |
| 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.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, SJ,Yu, JY,Liang, ZD,et al. Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,1999,37(6):1767-1779. |
| APA | Li, SJ,Yu, JY,Liang, ZD,&Zhu, GT.(1999).Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,37(6),1767-1779. |
| MLA | Li, SJ,et al."Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 37.6(1999):1767-1779. |
入库方式： OAI收割
来源：数学与系统科学研究院
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