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Identification of variable spacial coefficients for a beam equation from boundary measurements
Chang, Jin-De; Guo, Bao-Zhu
2007-04-01
发表期刊AUTOMATICA
ISSN0005-1098
卷号43期号:4页码:732-737
摘要We consider a system described by the Euler-Bernoulli beam equation, with one end clamped and with torque input at the other end. The output function are the displacement and the angle velocity at the non-clamped end of the beam. We study the identification of the spatially variable coefficients in the beam equation, from input-output data. We show that both the density and the flexural rigidity of the beam (which are assumed to be of class C-4) can be uniquely determined if the input and output functions are known for all positive times. (C) 2007 Elsevier Ltd. All rights reserved.
关键词beam equation identifiability variable coefficients inverse problem
DOI10.1016/j.automatica.2006.11.002
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:000245501800020
出版者PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/5066
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.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China
3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa
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Chang, Jin-De,Guo, Bao-Zhu. Identification of variable spacial coefficients for a beam equation from boundary measurements[J]. AUTOMATICA,2007,43(4):732-737.
APA Chang, Jin-De,&Guo, Bao-Zhu.(2007).Identification of variable spacial coefficients for a beam equation from boundary measurements.AUTOMATICA,43(4),732-737.
MLA Chang, Jin-De,et al."Identification of variable spacial coefficients for a beam equation from boundary measurements".AUTOMATICA 43.4(2007):732-737.
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