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ON STABILITY EQUIVALENCE BETWEEN DYNAMIC OUTPUT FEEDBACK AND STATIC OUTPUT FEEDBACK FOR A CLASS OF SECOND ORDER INFINITE-DIMENSIONAL SYSTEMS
Feng, Hongyinping1,2; Guo, Bao-Zhu2,3
2015
Source PublicationSIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN0363-0129
Volume53Issue:4Pages:1934-1955
AbstractWe consider stabilization for a class of abstract second order infinite-dimensional systems with collocated control and observation. We show that the closed-loop system under a proportional direct output feedback control is asymptotically stable if and only if the closed-loop system under some dynamic output feedback control is asymptotically stable. A Hautus test is developed to ensure the asymptotic stability. Two types of dynamic output feedback controls are investigated. The results are applied to some coupled wave-heat equations where the heat system is considered as a controller of the wave system. This study provides a different view in the study of the coupled systems described by partial differential equations.
Keywordinfinite-dimensional system stabilization feedback control wave equation Hautus test
DOI10.1137/140962346
Language英语
Funding ProjectNational Natural Science Foundation of China[61403239] ; National Natural Science Foundation of China[61374089] ; National Natural Science Foundation of China[11401351] ; National Basic Research Program of China[2011CB808002] ; Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi[STIP 2014101]
WOS Research AreaAutomation & Control Systems ; Mathematics
WOS SubjectAutomation & Control Systems ; Mathematics, Applied
WOS IDWOS:000360666700010
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20702
Collection系统科学研究所
Corresponding AuthorFeng, Hongyinping
Affiliation1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
2.Univ Witwatersrand, Sch Comp Sci & Appl Math, Johannesburg, South Africa
3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Feng, Hongyinping,Guo, Bao-Zhu. ON STABILITY EQUIVALENCE BETWEEN DYNAMIC OUTPUT FEEDBACK AND STATIC OUTPUT FEEDBACK FOR A CLASS OF SECOND ORDER INFINITE-DIMENSIONAL SYSTEMS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2015,53(4):1934-1955.
APA Feng, Hongyinping,&Guo, Bao-Zhu.(2015).ON STABILITY EQUIVALENCE BETWEEN DYNAMIC OUTPUT FEEDBACK AND STATIC OUTPUT FEEDBACK FOR A CLASS OF SECOND ORDER INFINITE-DIMENSIONAL SYSTEMS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,53(4),1934-1955.
MLA Feng, Hongyinping,et al."ON STABILITY EQUIVALENCE BETWEEN DYNAMIC OUTPUT FEEDBACK AND STATIC OUTPUT FEEDBACK FOR A CLASS OF SECOND ORDER INFINITE-DIMENSIONAL SYSTEMS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 53.4(2015):1934-1955.
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