Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement
文献类型：期刊论文
| 作者 | Zhao, Zhi-Xue1,2; Banda, Mapundi K.2; Guo, Bao-Zhu3,4
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| 刊名 | INTERNATIONAL JOURNAL OF CONTROL
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| 出版日期 | 2018 |
| 卷号 | 91期号:7页码:1508-1521 |
| 关键词 | Identification damping coefficient anti-stable PDEs anti-damping coefficient |
| ISSN号 | 0020-7179 |
| DOI | 10.1080/00207179.2017.1320729 |
| 英文摘要 | 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. |
| WOS研究方向 | Automation & Control Systems |
| 语种 | 英语 |
| WOS记录号 | WOS:000435331800003 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30595]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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