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

文献类型：期刊论文

作者Guo, BZ; Wang, JM
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2005-12-01
卷号50期号:12页码:2087-2093
关键词boundary control Euler-Bernoulli beam C-o-semigroup Riesz basis stability
ISSN号0018-9286
DOI10.1109/TAC.2005.860275
英文摘要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.
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000234062800021
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/1110]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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