Passivity and Synchronization of Linearly Coupled Reaction-Diffusion Neural Networks With Adaptive Coupling

被引：122
作者：
Wang, Jin-Liang [1 ,2 ]
Wu, Huai-Ning [2 ]
Huang, Tingwen [3 ]
Ren, Shun-Yan [1 ]
机构：
[1] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China
[2] Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
[3] Texas A&M Univ Qatar, Doha 23874, Qatar
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2015年 / 45卷 / 09期
关键词：
Adaptive coupling; coupled reaction-diffusion neural networks; passivity; synchronization; DISSIPATIVE DYNAMICAL-SYSTEMS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; ROBUST SYNCHRONIZATION; ARRAY; DISCRETE; STRATEGIES; DESIGN; TERMS;
D O I：
10.1109/TCYB.2014.2362655
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study a general array model of coupled reaction-diffusion neural networks (NNs) with adaptive coupling. In order to ensure the passivity of the coupled reaction-diffusion neural networks, some adaptive strategies to tune the coupling strengths among network nodes are designed. By utilizing some inequality techniques and the designed adaptive laws, several sufficient conditions ensuring passivity are obtained. In addition, we reveal the relationship between passivity and synchronization of the coupled reaction-diffusion NNs. Based on the obtained passivity results and the relationship between passivity and synchronization, a global synchronization criterion is established. Finally, numerical simulations are presented to illustrate the correctness and effectiveness of the proposed results.
引用
收藏
页码：1942 / 1952
页数：11
相关论文
共 55 条
[1]   Passivity as a design tool for group coordination [J].
Arcak, Murat .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1380-1390
[2]   An improved robust stability result for uncertain neural networks with multiple time delays [J].
Arik, Sabri .
NEURAL NETWORKS, 2014, 54 :1-10
[3]   Passivity-Based Control applied to DC hybrid power source using fuel cell and supercapacitors [J].
Ayad, M. Y. ;
Becherif, M. ;
Henni, A. ;
Aboubou, A. ;
Wack, M. ;
Laghrouche, S. .
ENERGY CONVERSION AND MANAGEMENT, 2010, 51 (07) :1468-1475
[4]   Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms [J].
Balasubramaniam, P. ;
Vidhya, C. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (12) :3458-3466
[5]   PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].
BYRNES, CI ;
ISIDORI, A ;
WILLEMS, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240
[6]   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
[7]   Synchronization in an array of linearly stochastically coupled networks with time delays [J].
Cao, Jinde ;
Wang, Zidong ;
Sun, Yonghui .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 385 (02) :718-728
[8]   Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].
Cao, Jinde ;
Wan, Ying .
NEURAL NETWORKS, 2014, 53 :165-172
[9]   Cluster synchronization in an array of hybrid coupled neural networks with delay [J].
Cao, Jinde ;
Li, Lulu .
NEURAL NETWORKS, 2009, 22 (04) :335-342
[10]   A passivity approach to game-theoretic CDMA power control [J].
Fan, X. ;
Alpcan, T. ;
Arcak, A. ;
Wen, T. J. ;
Basar, T. .
AUTOMATICA, 2006, 42 (11) :1837-1847
123456