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Boundary Control Method to Identification of Elastic Modulus of String Equation from Neumann-Dirichlet Map
Zhao Zhixue1; Guo Baozhu2,3
2016-10-01
发表期刊JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
卷号29期号:5页码:1212-1225
摘要This paper considers identification for the spatial variable coefficient of a vibrating string with Neumann boundary control from the measured boundary displacement. The reconstruction algorithm consists of two steps: The first step is to recover the spectral data from the measured boundary displacement by showing that the system is spectral controllable; the second step is to reconstruct the coefficient from the recovered spectral data using the boundary control method, for which the required exact controllability is also verified.
关键词Boundary control method inverse problem parameter identification
DOI10.1007/s11424-015-4235-5
语种英语
资助项目National Natural Science Foundation of China[11326196] ; Doctoral Fund Program of Tianjin Normal University[52XB1413]
WOS研究方向Mathematics
WOS类目Mathematics, Interdisciplinary Applications
WOS记录号WOS:000384986000003
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/23945
专题系统科学研究所
通讯作者Zhao Zhixue
作者单位1.Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
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Zhao Zhixue,Guo Baozhu. Boundary Control Method to Identification of Elastic Modulus of String Equation from Neumann-Dirichlet Map[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2016,29(5):1212-1225.
APA Zhao Zhixue,&Guo Baozhu.(2016).Boundary Control Method to Identification of Elastic Modulus of String Equation from Neumann-Dirichlet Map.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,29(5),1212-1225.
MLA Zhao Zhixue,et al."Boundary Control Method to Identification of Elastic Modulus of String Equation from Neumann-Dirichlet Map".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 29.5(2016):1212-1225.
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