Synchronization of Fractional-Order Delayed Neural Networks with Hybrid Coupling

被引：36

作者：

Bao, Haibo ^{[1
,2
]}

Park, Ju H. ^{[2
]}

Cao, Jinde ^{[3
,4
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Dept Math, Chongqing 400715, Peoples R China

[2] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 38541, South Korea

[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

COMPLEXITY | 2016年 / 21卷 / S1期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

fractional-order; delayed neural network; synchronization; hybrid coupling; GLOBAL SYNCHRONIZATION; STABILITY; SYSTEMS; CHAOS; ARRAY; BIFURCATION; DYNAMICS;

D O I：

10.1002/cplx.21715

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article presents new theoretical results on the synchronization for a class of fractional-order delayed neural networks with hybrid coupling that contains constant coupling and discrete-delay coupling. This is the first attempt to investigate the synchronization problem of fractional-order coupled delayed neural networks. Based on the fractional-order Lyapunov stability theorem and Kronecker product properties, sufficient criteria are established to ensure the fractional-order coupled neural network to achieve synchronization. Numerical simulations are given to illustrate the correctness of the theoretical results. (C) 2015 Wiley Periodicals, Inc.

引用

页码：106 / 112

页数：7

共 33 条

[1]

Aghababa M.P., COMPLEXITY IN PRESS, DOI [10.1002/cplx.21682, DOI 10.1002/CPLX.21682]

[2] Lyapunov functions for fractional order systems [J].

Aguila-Camacho, Norelys ;

Duarte-Mermoud, Manuel A. ;

Gallegos, Javier A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :2951-2957

[3]

[Anonymous], 2006, THEORY APPL FRACTION

[4]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[5] DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1987, 28 (03) :305-316

[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] 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

[8] Stability and Hopf bifurcation in a simplified BAM neural network with two time delays [J].

Cao, Jinde ;

Xiao, Min .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (02) :416-430

[9] Razumikhin-type stability theorems for functional fractional-order differential systems and applications [J].

Chen, Boshan ;

Chen, Jiejie .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 254 :63-69

[10] Global synchronization of coupled delayed neural networks and applications to chaotic CNN models [J].

Chen, GR ;

Zhou, J ;

Liu, ZR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07) :2229-2240

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