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Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
Guo, BZ; Luo, YH
2002-05-15
Source PublicationSYSTEMS & CONTROL LETTERS
ISSN0167-6911
Volume46Issue:1Pages:45-65
AbstractA 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.
Keywordcontrollability stability hyperbolic system well-posed system
Language英语
WOS Research AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000175817100004
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:65[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17706
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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