EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS TO BAM RECURRENT NEURAL NETWORKS WITH TRANSMISSION DELAYS AND CONTINUOUSLY DISTRIBUTED DELAYS

被引：0

作者：

Junyan Xu College of Math.and Computer Science

机构：

来源：

Annals of Applied Mathematics | 2012年 / 04期

关键词：

recurrent neural networks; almost periodic solution; exponential stability; delays;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper,a class of bidirectional associative memory(BAM) recurrent neural networks with delays are studied.By a fixed point theorem and a Lyapunov functional,some new sufficient conditions for the existence,uniqueness and global exponential stability of the almost periodic solutions are established.These conditions are easy to be verified and our results complement the previous known results.

引用

页码：435 / 444

页数：10

共 50 条

[1] EXISTENCE AND EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS TO BAM RECURRENT NEURAL NETWORKS WITH TRANSMISSION DELAYS AND CONTINUOUSLY DISTRIBUTED DELAYS
Junyan Xu College of Mathand Computer ScienceFuzhou UniversityFuzhou
[J]. Annals of Differential Equations., 2012, 28 (04) - 444
[2] 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
[J]. PHYSICS LETTERS A, 2003, 319 (3-4) : 305 - 316
[3] Existence and exponential stability of almost periodic solutions for cellular neural networks with continuously distributed delays
Liu, BW
Huang, LH
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 43 (02) : 445 - 459
[4] Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays
Bai, Chuanzhi
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5850 - 5859
[5] Almost periodic solutions of recurrent neural networks with continuously distributed delays
Xiang, Hongjun
Cao, Jinde
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6097 - 6108
[6] Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays
Zhou, Qiyuan
Xiao, Bing
Yu, Yuehua
Peng, Lequn
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (03) : 860 - 866
[7] Existence and global exponential stability of periodic solution to BAM neural networks with periodic coefficients and continuously distributed delays
Zhou, TJ
Chen, AP
Zhou, YY
[J]. PHYSICS LETTERS A, 2005, 343 (05) : 336 - 350
[8] EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES
Xu, Changjin
Li, Peiluan
Pang, Yicheng
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1200 - 1232
[9] Existence and exponential stability of almost periodic solutions for neutral-type BAM neural networks with distributed leakage delays
Xu, Changjin
Li, Peiluan
Pang, Yicheng
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 2177 - 2196
[10] Exponential stability and periodic solutions of neural networks with continuously distributed delays
Guo, SJ
Huang, LH
[J]. PHYSICAL REVIEW E, 2003, 67 (01):

← 1 2 3 4 5 →