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

doi:10.1007/s00498-007-0017-5

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	Well-posedness and regularity for an Euler-Bernoulli plate with variable coefficients and boundary control and observation
	Guo, Bao-Zhu; Zhang, Zhi-Xiong
	2007-11-01
发表期刊	MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
ISSN	0932-4194
卷号	19 期号:4 页码:337-360
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.
关键词	Euler-Bernoulli plate well-posed and regular system boundary control and observation
DOI	10.1007/s00498-007-0017-5
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000250632200003
出版者	SPRINGER LONDON LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5165
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.