Decentralized adaptive coupling synchronization of fractional-order complex-variable dynamical networks.

被引：56

作者：

Xu, Quan ^{[1
,2
]}

Zhuang, Shengxian ^{[2
]}

Liu, Sijia ^{[2
]}

Xiao, Jian ^{[2
]}

机构：

[1] Xihua Univ, Sch Technol, Chengdu 610039, Peoples R China

[2] Southwest Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Peoples R China

来源：

NEUROCOMPUTING | 2016年 / 186卷

基金：

中国国家自然科学基金;

关键词：

Decentralized adaptive control; Synchronization; Complex-variable dynamical networks; Fractional-order; Hermitian quadrtic Lyapunov functions; DIFFUSION NEURAL-NETWORKS; PROJECTIVE SYNCHRONIZATION; IMPULSIVE SYNCHRONIZATION; CLUSTER SYNCHRONIZATION; LYAPUNOV FUNCTIONS; STABILITY; SYSTEMS; CHAOS; PASSIVITY;

D O I：

10.1016/j.neucom.2015.12.072

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we combine decentralized adaptive control with the fractional-order techniques to investigate the synchronization of fractional-order complex-variable dynamical networks. A new lemma is proposed for estimating the Caputo fractional derivatives of Hermitian quadrtic Lyapunov functions. Based on local information among neighboring nodes, an effective fractional-order decentralized adaptive strategy to tune the coupling gains among network nodes is designed. This analysis is further extended to the case where only a small fraction of coupling gains are choosen to be adjusted. By constructing suitable Lyapunov functions and utilizing the proposed lemma, two sufficient criteria are derived to guarantee the network synchronization by using the proposed adaptive laws. Finally, numerical examples are given to validate the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：119 / 126

页数：8

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