WELL-POSEDNESS OF SYSTEMS OF LINEAR ELASTICITY WITH DIRICHLET BOUNDARY CONTROL AND OBSERVATION

doi:10.1137/070705593

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	WELL-POSEDNESS OF SYSTEMS OF LINEAR ELASTICITY WITH DIRICHLET BOUNDARY CONTROL AND OBSERVATION
	Guo, Bao-Zhu1,2 ; Zhang, Zhi-Xiong 3
	2009
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	48 期号:4 页码:2139-2167
摘要	An open-loop system of linear elasticity with Dirichlet boundary control and collocated observation is considered. The main result we obtained states that this system is well-posed in the sense of Salamon. The result deduces the exponential stability of the closed-loop system under proportional output feedback. Hence it answers positively an open question proposed by Liu and Krstic [IMA J. Appl. Math., 65 (2000), pp. 109-121]. Moreover, the well-posedness, together with the regularity of the open-loop system in the sense of Weiss that was obtained in our separate paper [S.G. Chai and B. Z. Guo, Feedthrough Operator for Linear Elasticity System with Boundary Control and Observation, Preprint, School of Computational and Applied Mathematics, University of the Witwatersrand, South Africa, 2008], makes this infinite-dimensional system parallel in many ways to a linear finite-dimensional system in the framework of well-posed and regular linear infinite-dimensional systems.
关键词	linear elasticity transfer function well-posed and regular system boundary control and observation
DOI	10.1137/070705593
语种	英语
资助项目	National Natural Science Foundation of China ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000270194500005
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8330
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 100190, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, Johannesburg, South Africa 3.Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Zhang, Zhi-Xiong. WELL-POSEDNESS OF SYSTEMS OF LINEAR ELASTICITY WITH DIRICHLET BOUNDARY CONTROL AND OBSERVATION[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2009,48(4):2139-2167.
APA	Guo, Bao-Zhu,&Zhang, Zhi-Xiong.(2009).WELL-POSEDNESS OF SYSTEMS OF LINEAR ELASTICITY WITH DIRICHLET BOUNDARY CONTROL AND OBSERVATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,48(4),2139-2167.
MLA	Guo, Bao-Zhu,et al."WELL-POSEDNESS OF SYSTEMS OF LINEAR ELASTICITY WITH DIRICHLET BOUNDARY CONTROL AND OBSERVATION".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 48.4(2009):2139-2167.