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Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement
Zhao, Zhi-Xue1,2; Banda, Mapundi K.2; Guo, Bao-Zhu3,4
2018
Source PublicationINTERNATIONAL JOURNAL OF CONTROL
ISSN0020-7179
Volume91Issue:7Pages:1508-1521
AbstractIn this paper, simultaneous identification of damping or anti-damping coefficient and initial value for some Riesz spectral systems is considered. An identification algorithm is proposed based on the fact that the output of the system happens to be decomposed into a product of an exponential function and a periodic function. The former contains information of the damping coefficient, while the latter does not. The convergence and error analysis are also developed. Three examples, namely an anti-stable wave equation with boundary anti-damping, the Schrodinger equation with internal anti-damping and two connected strings with middle joint anti-damping, are investigated and demonstrated by numerical simulations to show the effectiveness of the proposed algorithm.
KeywordIdentification damping coefficient anti-stable PDEs anti-damping coefficient
DOI10.1080/00207179.2017.1320729
Language英语
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000435331800003
PublisherTAYLOR & FRANCIS LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30596
Collection系统科学研究所
Affiliation1.Tianjin Normal Univ, Sch Math Sci, Tianjin, Peoples R China
2.Univ Pretoria, Dept Math & Appl Math, Pretoria, South Africa
3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
4.Univ Witwatersrand, Sch Comp Sci & Appl Math, Johannesburg, South Africa
Recommended Citation
GB/T 7714
Zhao, Zhi-Xue,Banda, Mapundi K.,Guo, Bao-Zhu. Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement[J]. INTERNATIONAL JOURNAL OF CONTROL,2018,91(7):1508-1521.
APA Zhao, Zhi-Xue,Banda, Mapundi K.,&Guo, Bao-Zhu.(2018).Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement.INTERNATIONAL JOURNAL OF CONTROL,91(7),1508-1521.
MLA Zhao, Zhi-Xue,et al."Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement".INTERNATIONAL JOURNAL OF CONTROL 91.7(2018):1508-1521.
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