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 | |
刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
2015 | |
卷号 | 53期号:4页码:1934-1955 |
关键词 | infinite-dimensional system stabilization feedback control wave equation Hautus test |
ISSN号 | 0363-0129 |
DOI | 10.1137/140962346 |
英文摘要 | We 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. |
资助项目 | National 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研究方向 | Automation & Control Systems ; Mathematics |
语种 | 英语 |
出版者 | SIAM PUBLICATIONS |
WOS记录号 | WOS:000360666700010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20701] |
专题 | 系统科学研究所 |
通讯作者 | Feng, Hongyinping |
作者单位 | 1.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 |
推荐引用方式 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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