Identifying the interactions in a colored dynamical network

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英文篇名：Identifying the interactions in a colored dynamical network 作者：吴召艳 ; 弓晓利 英文作者：Wu Zhao-Yan;Gong Xiao-Li;College of Mathematics and Information Science, Jiangxi Normal University; 英文关键词：colored network;;interaction;;identification 中文刊名：ZGWL 英文刊名：中国物理B 机构：College of Mathematics and Information Science, Jiangxi Normal University; 出版日期：2015-11-15 出版单位：Chinese Physics B 年：2015 期：v.24 基金：supported by the National Natural Science Foundation of China(Grant No.61463022);; the Natural Science Foundation of Jiangxi Educational Committee,China(Grant No.GJJ14273);; the Graduate Innovation Fund of Jiangxi Normal University,China(Grant No.YJS2014061) 语种：英文; 页：ZGWL201511012 页数：4 CN：11 ISSN：11-5639/O4 分类号：81-84

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 L systems is considered as a numerical example to illustrate the effectiveness of the proposed method.
        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 L systems is considered as a numerical example to illustrate the effectiveness of the proposed method.

引文

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