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Well-posedness and regularity for an Euler-Bernoulli plate with variable coefficients and boundary control and observation

文献类型：期刊论文

作者Guo, Bao-Zhu; Zhang, Zhi-Xiong
刊名MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
出版日期2007-11-01
卷号19期号:4页码:337-360
关键词Euler-Bernoulli plate well-posed and regular system boundary control and observation
ISSN号0932-4194
DOI10.1007/s00498-007-0017-5
英文摘要The open loop system of an Euler-Bernoulli plate with variable coefficients and partial boundary Neumann control and collocated observation is considered. Using the geometric multiplier method on Riemannian manifolds, we show that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. Moreover, we determine that the feedthrough operator of this system is zero. The result implies in particular that the exact controllability of the open-loop system is equivalent to the exponential stability of the closed-loop system under proportional output feedback.
WOS研究方向Automation & Control Systems ; Engineering ; Mathematics
语种英语
WOS记录号WOS:000250632200003
出版者SPRINGER LONDON LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5164]  
专题系统科学研究所
通讯作者Guo, Bao-Zhu
作者单位1.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa
3.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China
推荐引用方式
GB/T 7714		 Guo, Bao-Zhu,Zhang, Zhi-Xiong. Well-posedness and regularity for an Euler-Bernoulli plate with variable coefficients and boundary control and observation[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,2007,19(4):337-360.
APA Guo, Bao-Zhu,&Zhang, Zhi-Xiong.(2007).Well-posedness and regularity for an Euler-Bernoulli plate with variable coefficients and boundary control and observation.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,19(4),337-360.
MLA Guo, Bao-Zhu,et al."Well-posedness and regularity for an Euler-Bernoulli plate with variable coefficients and boundary control and observation".MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 19.4(2007):337-360.

入库方式： OAI收割

来源：数学与系统科学研究院

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