Identifying the interactions in a colored dynamical network

doi:10.1088/1674-1056/24/11/110202

Abstract The interactions of a colored dynamical network play a great role in its dynamical behaviour and are denoted by outer and inner coupling matrices. In this paper, the outer and inner coupling matrices are assumed to be unknown and need to be identified. A corresponding network estimator is designed for identifying the unknown interactions by adopting proper adaptive laws. Based on the Lyapunov function method and Barbalat’s lemma, the obtained result is analytically proved. A colored network coupled with chaotic Lorenz, Chen, and Lü systems is considered as a numerical example to illustrate the effectiveness of the proposed method.

Keywords: colored network interaction identification

Received: 13 March 2015
Revised: 13 May 2015
Accepted manuscript online:

PACS:	02.40.Pc	(General topology)
	64.60.aq	(Networks)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61463022), the Natural Science Foundation of Jiangxi Educational Committee, China (Grant No. GJJ14273), and the Graduate Innovation Fund of Jiangxi Normal University, China (Grant No. YJS2014061).

Corresponding Authors: Wu Zhao-Yan
E-mail: zhywu7981@gmail.com

Cite this article:

Wu Zhao-Yan (吴召艳), Gong Xiao-Li (弓晓利) Identifying the interactions in a colored dynamical network 2015 Chin. Phys. B 24 110202

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