Asymptotic and Finite-Time Cluster Synchronization of Coupled Fractional-Order Neural Networks With Time Delay

被引：107

作者：

Liu, Peng ^{[1
,2
]}

Zeng, Zhigang ^{[3
,4
]}

Wang, Jun ^{[5
,6
]}

机构：

[1] Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Peoples R China

[2] Zhengzhou Univ Light Ind, Henan Key Lab Informat Based Elect Appliances, Zhengzhou 450002, Peoples R China

[3] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Wuhan 430074, Peoples R China

[4] Huazhong Univ Sci & Technol, Key Lab Image Proc & Intelligent Control, Educ Minist China, Wuhan 430074, Peoples R China

[5] City Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China

[6] City Univ Hong Kong, Sch Data Sci, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2020年 / 31卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Synchronization; Neural networks; Complex networks; Delays; Calculus; Delay effects; Mathematical model; Filippov solution; finite-time cluster synchronization; fractional-order neural networks; GLOBAL EXPONENTIAL SYNCHRONIZATION; COMPLEX DYNAMICAL NETWORKS; VARIABLE CHAOTIC SYSTEMS; UNKNOWN-PARAMETERS; STABILITY; CALCULUS;

D O I：

10.1109/TNNLS.2019.2962006

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This article is devoted to the cluster synchronization issue of coupled fractional-order neural networks. By introducing the stability theory of fractional-order differential systems and the framework of Filippov regularization, some sufficient conditions are derived for ascertaining the asymptotic and finite-time cluster synchronization of coupled fractional-order neural networks, respectively. In addition, the upper bound of the settling time for finite-time cluster synchronization is estimated. Compared with the existing works, the results herein are applicable for fractional-order systems, which could be regarded as an extension of integer-order ones. A numerical example with different cases is presented to illustrate the validity of theoretical results.

引用

页码：4956 / 4967

页数：12

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