Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays

被引：17
作者：
Guia, Zhanji [1 ,2 ]
Yang, Xiao-Song [2 ]
Ge, Weigao [3 ]
机构：
[1] Hainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
[3] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 79卷 / 01期
关键词：
neural networks; impulsive effect; periodic solution; quasi-periodic solution; global exponential stability; simulation method;
D O I：
10.1016/j.matcom.2007.09.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functions. we study the existence, uniqueness and global exponential stability of periodic solutions for recurrent neural networks with impulsive perturbations and delays. Further, by using numerical simulation method, the influences of the impulsive perturbations on the inherent oscillations are investigated. (C) 2007 Published by Elsevier B.V. on behalf of IMACS.
引用
收藏
页码：14 / 29
页数：16
相关论文
共 21 条
[1]   Continuous-time additive Hopfield-type neural networks with impulses [J].
Akça, H ;
Alassar, R ;
Covachev, V ;
Covacheva, Z ;
Al-Zahrani, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (02) :436-451
[2]   Globally exponentially robust stability and periodicity of delayed neural networks [J].
Cao, J ;
Chen, TP .
CHAOS SOLITONS & FRACTALS, 2004, 22 (04) :957-963
[3]   Global exponential stability and periodicity of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (05) :920-931
[4]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[5]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[6]   Input/output linearization using dynamic recurrent-neural networks [J].
Delgado, A ;
Kambhampati, C ;
Warwick, K .
MATHEMATICS AND COMPUTERS IN SIMULATION, 1996, 41 (5-6) :451-460
[7]  
Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[8]   Stability of artificial neural networks with impulses [J].
Gopalsamy, K .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (03) :783-813
[9]   On impulsive autoassociative neural networks [J].
Guan, ZH ;
Lam, J ;
Chen, GR .
NEURAL NETWORKS, 2000, 13 (01) :63-69
[10]   DECENTRALIZED STABILIZATION OF SINGULAR AND TIME-DELAY LARGE-SCALE CONTROL-SYSTEMS WITH IMPULSIVE SOLUTIONS [J].
GUAN, ZH ;
LIU, YQ ;
WEN, XC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (08) :1437-1441
123