KMS Of Academy of mathematics and systems sciences, CAS
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
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ISSN | 1009-6124 |
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 |
DOI | 10.1007/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 |
推荐引用方式 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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