On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback

doi:10.1051/cocv:2008001

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	On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback
	Guo, Bao-Zhu2,3 ; Wang, Jun-Min 1; Zhou, Cui-Lian 1
	2008-07-01
发表期刊	ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN	1292-8119
卷号	14 期号:3 页码:632-656
摘要	We study the dynamic behavior and stability of two connected Rayleigh beams that are subject to, in addition to two sensors and two actuators applied at the joint point, one of the actuators also specially distributed along the beams. We show that with the distributed control employed, there is a set of generalized eigenfunctions of the closed-loop system, which forms a Riesz basis with parenthesis for the state space. Then both the spectrum-determined growth condition and exponential stability are concluded for the system. Moreover, we show that the exponential stability is independent of the location of the joint. The range of the feedback gains that guarantee the system to be exponentially stable is identified.
关键词	Rayleigh beam collocated control spectral analysis exponential stability
DOI	10.1051/cocv:2008001
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000257337000012
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6530
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Witwatersrand, Dept Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Wang, Jun-Min,Zhou, Cui-Lian. On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2008,14(3):632-656.
APA	Guo, Bao-Zhu,Wang, Jun-Min,&Zhou, Cui-Lian.(2008).On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,14(3),632-656.
MLA	Guo, Bao-Zhu,et al."On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 14.3(2008):632-656.