Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement

doi:10.1080/00207179.2017.1320729

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	Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement
	Zhao, Zhi-Xue 1,2; Banda, Mapundi K.2; Guo, Bao-Zhu3,4
	2018
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	91 期号:7 页码:1508-1521
摘要	In 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.
关键词	Identification damping coefficient anti-stable PDEs anti-damping coefficient
DOI	10.1080/00207179.2017.1320729
语种	英语
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000435331800003
出版者	TAYLOR & FRANCIS 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/30596
专题	系统科学研究所
通讯作者	Zhao, Zhi-Xue
作者单位	1.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
推荐引用方式 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.