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![]() | |
2004-04-01 | |
Source Publication | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
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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 |
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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