Identifying the interactions in a colored dynamical network

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

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 110202-110202.doi: 10.1088/1674-1056/24/11/110202

Identifying the interactions in a colored dynamical network

吴召艳, 弓晓利

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China

收稿日期:2015-03-13 修回日期:2015-05-13 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Wu Zhao-Yan E-mail:zhywu7981@gmail.com
基金资助:
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).

Identifying the interactions in a colored dynamical network

Wu Zhao-Yan (吴召艳), Gong Xiao-Li (弓晓利)

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China

Received:2015-03-13 Revised:2015-05-13 Online:2015-11-05 Published:2015-11-05
Contact: Wu Zhao-Yan E-mail:zhywu7981@gmail.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: colored network, interaction, identification

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.

Key words: colored network, interaction, identification

中图分类号: (General topology)

02.40.Pc

64.60.aq (Networks) 05.45.Xt (Synchronization; coupled oscillators)

吴召艳, 弓晓利. Identifying the interactions in a colored dynamical network[J]. 中国物理B, 2015, 24(11): 110202-110202.

Wu Zhao-Yan (吴召艳), Gong Xiao-Li (弓晓利). Identifying the interactions in a colored dynamical network[J]. Chin. Phys. B, 2015, 24(11): 110202-110202.

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Identifying the interactions in a colored dynamical network

Identifying the interactions in a colored dynamical network

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