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

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dc.contributor.author Zhao, Zhi-Xue
dc.contributor.author Banda, Mapundi K.
dc.contributor.author Guo, Bao-Zhu
dc.date.accessioned 2017-05-24T07:40:01Z
dc.date.issued 2018 en
dc.description.abstract 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 Schrödinger 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. en_ZA
dc.description.department Mathematics and Applied Mathematics en
dc.description.embargo 2018-05-03
dc.description.sponsorship The National Natural Science Foundation of China [grant number 11326196], the National Research Foundation of South Africa [grant number 93099 and 93476], the Doctoral Fund Program of Tianjin Normal University [grant number 52XB1413], and the Postdoctoral Fellowship of the University of Pretoria. en
dc.description.uri http://www.tandfonline.com/loi/tcon20 en
dc.identifier.citation Zhi-Xue Zhao, Mapundi K. Banda & Bao-Zhu Guo (2018) Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement, International Journal of Control, 91:7, 1508-1521, DOI: 10.1080/00207179.2017.1320729. en
dc.identifier.issn 1366-5820 (online) en
dc.identifier.issn 0020-7179 (print) en
dc.identifier.other 10.1080/00207179.2017.1320729 en
dc.identifier.uri http://hdl.handle.net/2263/60601
dc.language.iso English en
dc.publisher Taylor and Francis en
dc.rights © 2017 Informa UK Limited, trading as Taylor & Francis Group. This is an electronic version of an article published in International Journal of Control, vol. 97, no. 7, pp. 1508-1521, 2017. doi : 10.1080/00207179.2017.1320729. International Journal of Control is available online at : http://www.tandfonline.comloi/tcon20. en
dc.subject Identification en
dc.subject Damping coefficient en
dc.subject Anti-stable PDEs en
dc.subject Anti-damping coefficient en
dc.subject Partial differential equation (PDE) en
dc.title Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement en
dc.type Postprint Article en


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