Existence and global exponential stability of almost periodic solution for delayed competitive neural networks with discontinuous activations

被引：32

作者：

Tan, Yanxiang ^{[1
]}

Jing, Ke ^{[2
]}

机构：

[1] Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410114, Hunan, Peoples R China

[2] Fuyang Normal Univ, Sch Math & Stat, Fuyang 236041, Anhui, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 11期

基金：

中国国家自然科学基金;

关键词：

delay competitive neural networks; discontinuous activation; almost periodic solution; global exponential stability; DIFFERENT TIME SCALES; DYNAMICAL BEHAVIORS; DISSIPATIVITY; SYNCHRONIZATION; CONVERGENCE; INCLUSIONS;

D O I：

10.1002/mma.3732

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of delayed competitive neural networks with discontinuous activations. Without assuming the boundedness and local Lipschizian on the activation functions, some new criteria ensuring the existence and global exponential stability of almost periodic solutions for the neural network model considered in this work are established by constructing some suitable Lyapunov functionals and employing the theory of nonsmooth analysis. Finally, we present some applications and numerical examples with simulations to show the effectiveness of our main results. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：2821 / 2839

页数：19

共 50 条

[41] Finite time stability of periodic solution for Hopfield neural networks with discontinuous activations
Chen, Xiaoyan
Huang, Lihong
Guo, Zhenyuan
NEUROCOMPUTING, 2013, 103 : 43 - 49
[42] PERIODIC SOLUTION AND GLOBAL EXPONENTIAL STABILITY FOR SHUNTING INHIBITORY DELAYED CELLULAR NEURAL NETWORKS
Chen, Anping
Cao, Jinde
Huang, Lihong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[43] Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput
杨喜陶
NortheasternMathematicalJournal, 2006, (02) : 199 - 205
[44] Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks
Xiang, H
Yan, KM
Wang, BY
PHYSICS LETTERS A, 2006, 352 (4-5) : 341 - 349
[45] COMPLETE PERIODIC SYNCHRONIZATION OF DELAYED NEURAL NETWORKS WITH DISCONTINUOUS ACTIVATIONS
Liu, Xiaoyang
Cao, Jinde
Huang, Gan
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (07): : 2151 - 2164
[46] Existence and global convergence of periodic solution of delayed neural networks
Yuan, Zhaohui
Yuan, Lifen
MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (1-2) : 101 - 113
[47] Existence and Global Exponential Stability of Almost Periodic Solution for High-Order BAM Neural Networks with Delays on Time Scales
Yongkun Li
Chao Wang
Xia Li
Neural Processing Letters, 2014, 39 : 247 - 268
[48] Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays
Jiang, HJ
Zhang, L
Teng, ZD
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (06): : 1340 - 1351
[49] Existence and Global Exponential Stability of Almost Periodic Solution for High-Order BAM Neural Networks with Delays on Time Scales
Li, Yongkun
Wang, Chao
Li, Xia
NEURAL PROCESSING LETTERS, 2014, 39 (03) : 247 - 268
[50] Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays
Liu, ZG
Chen, AP
Cao, JD
Huang, LH
PHYSICS LETTERS A, 2003, 319 (3-4) : 305 - 316

← 1 2 3 4 5 →