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
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
[11]   Function projective synchronization in complex networks with switching topology and stochastic effects [J].
Jin, Yunguo ;
Zhong, Shouming .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 :730-740
[12]   A direct characterization of L2-gain controllers for LPV systems [J].
Kose, IE ;
Jabbari, F ;
Schmitendorf, WE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (09) :1302-1307
[13]   Design of state estimator for neural networks with leakage, discrete and distributed delays [J].
Lakshmanan, S. ;
Park, Ju H. ;
Jung, H. Y. ;
Balasubramaniam, P. .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (22) :11297-11310
[14]  
Li B., 2014, NONLINEAR DYN, V76
[15]   Exponential synchronization of impulsive discrete-time complex networks with time-varying delay [J].
Li, Zhen ;
Fang, Jian-an ;
Miao, Qingying ;
He, Guang .
NEUROCOMPUTING, 2015, 157 :335-343
[16]   Synchronization and state estimation for discrete-time complex networks with distributed delays [J].
Liu, Yurong ;
Wang, Zidong ;
Liang, Jinling ;
Liu, Xiaohui .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (05) :1314-1325
[17]   Globally exponential synchronization in an array of asymmetric coupled neural networks [J].
Lu, Jianquan ;
Ho, Daniel W. C. ;
Liu, Ming .
PHYSICS LETTERS A, 2007, 369 (5-6) :444-451
[18]  
Muller B., 1990, Neural networks
[19]  
NEWMAN M.E. J., 2006, The Structure and Dynamics of Complex Networks
[20]   The structure and function of complex networks [J].
Newman, MEJ .
SIAM REVIEW, 2003, 45 (02) :167-256