Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator

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	Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
	Guo, BZ; Luo, YH
	2002-05-15
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	46 期号:1 页码:45-65
摘要	A second-order hyperbolic system with collocated sensor/actuator is considered. The semigroup generation is shown for the closed-loop system under the feedback of a generic unbounded observation operator. The equivalence between the exponential stability of the closed-loop system and exact controllability of the open-loop system is established in the general framework of well-posed linear systems. Finally, the conditions are weakened for the diagonal semigroups with finite dimensional inputs. Example of beam equation is presented to display the application. (C) 2002 Elsevier Science B.V. All rights reserved.
关键词	controllability stability hyperbolic system well-posed system
语种	英语
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000175817100004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17706
专题	系统科学研究所
通讯作者	Guo, BZ
作者单位	1.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China
推荐引用方式 GB/T 7714	Guo, BZ,Luo, YH. Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator[J]. SYSTEMS & CONTROL LETTERS,2002,46(1):45-65.
APA	Guo, BZ,&Luo, YH.(2002).Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator.SYSTEMS & CONTROL LETTERS,46(1),45-65.
MLA	Guo, BZ,et al."Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator".SYSTEMS & CONTROL LETTERS 46.1(2002):45-65.