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The stabilization of a one-dimensional wave equation by boundary feedback with noncollocated observation
Guo, Bao-Zhu; Xu, Cheng-Zhong
2007-02-01
发表期刊IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
卷号52期号:2页码:371-377
摘要This note addresses the stabilization of a one-dimensional wave equation with control at one end and noncollocated observation at another end. A simple exponentially convergent observer is constructed. The dynamical stabilizing boundary output feedback is designed via the observed state. While the closed-loop system is nondissipative, we show its exponential stability using Riesz basis approach.
关键词exact controllability exponential stability feedback control observer wave equation
DOI10.1109/TAC.2006.890385
语种英语
WOS研究方向Automation & Control Systems ; Engineering
WOS类目Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号WOS:000244471000026
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/4322
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 100080, Peoples R China
2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa
3.Univ Lyon 1, LAGEP, Villeurbanne, France
4.ESCPE, Villeurbanne, France
5.Ludong Univ, Sch Math & Comp Sci, Yantai, Peoples R China
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Guo, Bao-Zhu,Xu, Cheng-Zhong. The stabilization of a one-dimensional wave equation by boundary feedback with noncollocated observation[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2007,52(2):371-377.
APA Guo, Bao-Zhu,&Xu, Cheng-Zhong.(2007).The stabilization of a one-dimensional wave equation by boundary feedback with noncollocated observation.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,52(2),371-377.
MLA Guo, Bao-Zhu,et al."The stabilization of a one-dimensional wave equation by boundary feedback with noncollocated observation".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 52.2(2007):371-377.
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