KMS Of Academy of mathematics and systems sciences, CAS
| On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints | |
Guo, BZ ; Xie, Y; Hou, XZ
| |
| 2004-04-01 | |
| Source Publication | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
 |
| ISSN | 1079-2724 |
| Volume | 10Issue:2Pages:187-211 |
| Abstract | A framework of a general type of Petrovsky equation is formulated. The characteristic equation for eigenvalues of the system is derived and the associated eigenfunctions are found. For N-connected beams with linear feedbacks at joint points, the asymptotic expansions of eigenvalues and eigenfunctions are further developed, and the Riesz basis property and the exponential stability are then concluded. |
| Keyword | Petrovsky type equation C-0-semigroup spectral analysis Riesz basis |
| Language | 英语 |
| WOS Research Area | Automation & Control Systems ; Mathematics |
| WOS Subject | Automation & Control Systems ; Mathematics, Applied |
| WOS ID | WOS:000220869600003 |
| Publisher | KLUWER ACADEMIC/PLENUM PUBL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19470 |
| Collection | 系统科学研究所 |
| Corresponding Author | Guo, BZ |
| Affiliation | 1.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Towson Univ, Dept Math, Towson, MD 21252 USA |
| Recommended Citation GB/T 7714 | Guo, BZ,Xie, Y,Hou, XZ. On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2004,10(2):187-211. |
| APA | Guo, BZ,Xie, Y,&Hou, XZ.(2004).On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,10(2),187-211. |
| MLA | Guo, BZ,et al."On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 10.2(2004):187-211. |
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