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

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

Journal of South China University of Technology (Natural Science Edition) ›› 2015, Vol. 43 ›› Issue (5): 73-77,113.doi: 10.3969/j.issn.1000-565X.2015.05.012

• Electronics, Communication & Automation Technology • Previous Articles Next Articles

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

Dong Xun-de^1,2 Wang Cong¹

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

Received:2014-08-28 Revised:2015-01-06 Online:2015-05-25 Published:2015-05-07
Contact: 王聪(1968-)，男，博士，教授，主要从事智能控制、动态模式识别研究． E-mail:wangcong@scut.edu.cn
About author: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
Supported by:
Supported by the National Science Fundation for Distinguished Young Scholars of China(61225014)

Abstract

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

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 Edition), 2015, 43(5): 73-77,113.

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

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