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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
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume29Issue:5Pages:1212-1225
AbstractThis 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.
KeywordBoundary control method inverse problem parameter identification
DOI10.1007/s11424-015-4235-5
Language英语
Funding ProjectNational Natural Science Foundation of China[11326196] ; Doctoral Fund Program of Tianjin Normal University[52XB1413]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000384986000003
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23945
Collection系统科学研究所
Affiliation1.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
Recommended Citation
GB/T 7714
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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