Journal of South China University of Technology(Natural Science) >

2015 , Vol. 43 >Issue 5: 73 - 77,113

DOI: https://doi.org/10.3969/j.issn.1000-565X.2015.05.012

Electronics, Communication & Automation Technology

Identification of Damped and Driven Sine-Gordon Equation Based on Deterministic Learning

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  • 1． School of Automation Science and Technology，South China University of Technology，Guangzhou 510640，Guangdong，China;2． School of Mathematics，South China Unirersity of Technology，Guangzhou 510640，Guangdong，China
董训德(1985-)，男，博士生，主要从事系统辨识及确定学习研究． E-mail: dong． xd@ mail． scut． edu． cn

Received date: 2014-08-28

  Revised date: 2015-01-06

  Online published: 2015-05-07

Supported by

Supported by the National Science Fundation for Distinguished Young Scholars of China(61225014)

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Abstract

Discussed in this paper is the identification of dynamics of a class of damped and driven Sine-Gordon (SG) equation． Firstly，SG equation described by partial differential equation (PDE)，which is infinite dimen-sional，is approximated by a set of ordinary differential equation with finite dimension by means of finite difference method． Then，the existence，uniqueness and convergence of the solution of the approximated system are proofed．Finally，the dynamics of the approximated system is identified on the basis of deterministic learning． Experimental results show that the proposed method helps achieve locally accurate identification of SG equation dynamics．

Key words： Sine-Gordon equation; system identification; deterministic learning; dynamics

Cite this article

Dong Xun-de Wang Cong . Identification of Damped and Driven Sine-Gordon Equation Based on Deterministic Learning[J]. Journal of South China University of Technology(Natural Science), 2015 , 43(5) : 73 -77,113 . DOI: 10.3969/j.issn.1000-565X.2015.05.012

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