The well-posedness and stability of a beam equation with conjugate variables assigned at the same boundary point

doi:10.1109/TAC.2005.860275

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	The well-posedness and stability of a beam equation with conjugate variables assigned at the same boundary point
	Guo, BZ; Wang, JM
	2005-12-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	50 期号:12 页码:2087-2093
摘要	A Euler-Bernoulli beam equation subject to a special boundary feedback is considered. The well-posedness problem of the system proposed by G. Chen is studied. This problem is in sharp contrast to the general principle in applied mathematics that the conjugate variables cannot be assigned simultaneously at the same boundary point. We use the Riesz basis approach in our investigation. It is shown that the system is well-posed in the usual energy state space and that the state trajectories approach the zero eigenspace of the system as time goes to infinity. The relaxation of the applied mathematics principle gives more freedom in the design of boundary control for suppression of vibrations of flexible structures.
关键词	boundary control Euler-Bernoulli beam C-o-semigroup Riesz basis stability
DOI	10.1109/TAC.2005.860275
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:000234062800021
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/1111
专题	系统科学研究所
通讯作者	Guo, BZ
作者单位	1.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Guo, BZ,Wang, JM. The well-posedness and stability of a beam equation with conjugate variables assigned at the same boundary point[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2005,50(12):2087-2093.
APA	Guo, BZ,&Wang, JM.(2005).The well-posedness and stability of a beam equation with conjugate variables assigned at the same boundary point.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,50(12),2087-2093.
MLA	Guo, BZ,et al."The well-posedness and stability of a beam equation with conjugate variables assigned at the same boundary point".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 50.12(2005):2087-2093.