Exponential stability of FCNNs with time-varying leakage delays and reaction diffusion terms

被引：3

作者：

Jing, Ke ^{[1
]}

机构：

[1] Fuyang Normal Coll, Sch Math & Finance, Fuyang 236041, Anhui, Peoples R China

来源：

NEUROCOMPUTING | 2014年 / 145卷

关键词：

Fuzzy cellular neural networks; Global exponential stability; Time-varying leakage delays; Reaction-diffusion terms; CELLULAR NEURAL-NETWORKS; DIRICHLET BOUNDARY-CONDITIONS; DISCONTINUOUS ACTIVATIONS; ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; BAM; SYNCHRONIZATION; DISSIPATIVITY; EXISTENCE; CRITERIA;

D O I：

10.1016/j.neucom.2014.05.023

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we investigate the global exponential stability of fuzzy cellular neural networks with time-varying delays in the leakage terms and reaction-diffusion terms. By constructing a novel Lyapunov functional and applying inequality technique, we obtain some new sufficient conditions for the existence, uniqueness and global exponential stability of the equilibrium solution. Moreover, an numerical example is provided to demonstrate the feasibility of our method. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：363 / 368

页数：6

共 50 条

[1] BOUNDEDNESS AND EXPONENTIAL STABILITY FOR NONAUTONOMOUS FCNNs WITH REACTION-DIFFUSION TERMS AND TINE-VARYING DELAYS
Niu, Shuyun
Jiang, Haijun
Teng, Zhidong
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2011, 4 (01) : 55 - 73
[2] Global Exponential Stability and Periodic Solutions of FCNNs with Constant Delays and Time-varying Delays
Zhang, Qianhong
Luo, Wei
[J]. INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 2, PROCEEDINGS, 2009, : 659 - +
[3] Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms
Qiu, Jianlong
[J]. NEUROCOMPUTING, 2007, 70 (4-6) : 1102 - 1108
[4] Exponential stability and periodic solutions of FCNNs with variable coefficients and time-varying delays
Niu, Shuyun
Jiang, Haijun
Teng, Zhidong
[J]. NEUROCOMPUTING, 2008, 71 (13-15) : 2929 - 2936
[5] Analysis of global exponential stability and periodic solutions of FCNNs with constant delays and time-varying delays
Zhang Q.
Luo W.
Yang L.
[J]. Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 459 - 471
[6] Global exponential stability for BAM neural networks with time-varying delays in the leakage terms
Liu, Bingwen
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 559 - 566
[7] Boundedness and exponential stability for nonautonomous FCNNs with distributed delays and reaction-diffusion terms
Niu, Shuyun
Jiang, Haijun
Teng, Zhidong
[J]. NEUROCOMPUTING, 2010, 73 (16-18) : 2913 - 2919
[8] Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
Qiankun Song
Jinde Cao
[J]. Advances in Difference Equations, 2007
[9] Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms
Song, Qiankun
Cao, Jinde
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
[10] Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms
Li, Jinxian
Zhang, Fengqin
Yan, Jurang
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 241 - 247

← 1 2 3 4 5 →