Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

doi:10.1088/1674-1056/22/9/090203

Abstract In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure is presented in detail by constructing a specific Lyapunov function and linearizing the model function with nonlinear parameterization. The obtained result can be directly extended to the identification problem of linearly parameterized dynamical systems. Two typical numerical examples confirming the effectiveness of the identification method are given.

Keywords: autosynchronization parameter identification delay identification nonlinear parameterization

Received: 05 January 2013
Revised: 19 April 2013
Accepted manuscript online:

PACS:	02.30.Ks	(Delay and functional equations)
	05.45.Tp	(Time series analysis)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX03005-002), the Shandong Academy of Science Development Fund for Science and Technology, China, and the Pilot Project for Science and Technology in Shandong Academy of Science, China.

Corresponding Authors: Sun Zhi-Yong
E-mail: kfmuzik@126.com; sun.zhiyong.cn@gmail.com; sunzhy@sdas.org

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Gu Wei-Dong (顾卫东), Sun Zhi-Yong (孙志勇), Wu Xiao-Ming (吴晓明), Yu Chang-Bin (于长斌) Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization 2013 Chin. Phys. B 22 090203

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Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization

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