Synchronization of coupled neural networks with time-varying delay

被引：53
作者：
Zhang, Jin [1 ]
Gao, Yanbo [1 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226019, Jiangsu, Peoples R China
来源：
NEUROCOMPUTING | 2017年 / 219卷
基金：
中国国家自然科学基金;
关键词：
Coupled neural networks (CNNs); Time-varying delay; Synchronization; COMPLEX DYNAMICAL NETWORKS; GLOBAL SYNCHRONIZATION; ROBUST SYNCHRONIZATION; ARRAY; DISCRETE; LEAKAGE;
D O I：
10.1016/j.neucom.2016.09.004
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper addresses the synchronization problem for a class of neural networks with time-varying delay and hybrid couplings. By using a Lyapunov-Krasovskii functional (LKF) containing a triple integral term, applying the theory of Kronecker product of matrices, the Wirtinger-based inequality, the method of reciprocally convex combination and the technique of linear matrix inequality (LMI) to estimate the derivative of the LKF, the delay-dependent synchronization criteria in terms of LMIs are newly obtained. And a numerical example is given to illustrate the effectiveness of proposed results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：154 / 162
页数：9
相关论文
共 33 条
[1]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[2]   Global synchronization in arrays of delayed neural networks with constant and delayed coupling [J].
Cao, JD ;
Li, P ;
Wang, WW .
PHYSICS LETTERS A, 2006, 353 (04) :318-325
[3]   Global synchronization in an array of delayed neural networks with hybrid coupling [J].
Cao, Jinde ;
Chen, Guanrong ;
Li, Ping .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02) :488-498
[4]   Cluster synchronization in an array of hybrid coupled neural networks with delay [J].
Cao, Jinde ;
Li, Lulu .
NEURAL NETWORKS, 2009, 22 (04) :335-342
[5]   H∞ synchronization for complex dynamical networks with coupling delays using distributed impulsive control [J].
Chen, Wu-Hua ;
Jiang, Zhiyong ;
Lu, Xiaomei ;
Luo, Shixian .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 17 :111-127
[6]   Robust synchronization of an array of neural networks with hybrid coupling and mixed time delays [J].
Du, Yanke ;
Xu, Rui .
ISA TRANSACTIONS, 2014, 53 (04) :1015-1023
[7]   Novel synchronization analysis for complex networks with hybrid coupling by handling multitude Kronecker product terms [J].
Gong, Dawei ;
Zhang, Huaguang ;
Wang, Zhanshan ;
Huang, Bonan .
NEUROCOMPUTING, 2012, 82 :14-20
[8]  
GU K., 2003, CONTROL ENGN SER BIR
[9]   Synchronization analysis for static neural networks with hybrid couplings and time delays [J].
Huang, Bonan ;
Zhang, Huaguang ;
Gong, Dawei ;
Wang, Junyi .
NEUROCOMPUTING, 2015, 148 :288-293
[10]   Further results on exponential stability of neural networks with time-varying delay [J].
Ji, Meng-Di ;
He, Yong ;
Wu, Min ;
Zhang, Chuan-Ke .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 :175-182
1234