New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays

被引:0
|
作者
Aiping Zhang
机构
[1] Hunan University of Technology,School of Science
来源
Neural Processing Letters | 2015年 / 41卷
关键词
Cellular neural network; Exponential convergence; Continuously distributed delay; Leakage term; 34C25; 34K13; 34K25;
D O I
暂无
中图分类号
学科分类号
摘要
This paper discusses the issue of a class of cellular neural networks with continuously distributed delays in the leakage terms. By applying Lyapunov functional method and differential inequality techniques, without assuming the boundedness conditions on the activation functions, a new delay dependent sufficient condition is derived to ensure that all solutions of the networks converge exponentially to the zero point, which corrects some recent results of Xiong and Meng (Electron J Qual Theory Differ Equ, (10):1–12, 2013. http://www.math.u-szeged.hu/ejqtde/).
引用
收藏
页码:421 / 433
页数:12
相关论文
共 50 条
  • [31] Global exponential stability of Hopfield neural networks with continuously distributed delays
    Zhang, Q
    Wei, XP
    Xu, J
    PHYSICS LETTERS A, 2003, 315 (06) : 431 - 436
  • [32] Absolutely exponential stability of BAM neural networks with continuously distributed delays
    Kao, Yonggui
    Gao, Cunchen
    Wu, Lu
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 323 - 325
  • [33] A note on exponential convergence of neural networks with unbounded distributed delays
    Chu, Tianguang
    Yang, Haifeng
    CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1538 - 1545
  • [34] Exponential convergence estimates for neural networks with discrete and distributed delays
    Fang, Shengle
    Jiang, Minghui
    Wang, Xiaohong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 702 - 714
  • [35] Exponential convergence of an epidemic model with continuously distributed delays
    Xiao, Bing
    Liu, Bingwen
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (3-4) : 541 - 547
  • [36] A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type
    Zhibin Chen
    Neural Computing and Applications, 2013, 23 : 2429 - 2434
  • [37] A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type
    Chen, Zhibin
    NEURAL COMPUTING & APPLICATIONS, 2013, 23 (7-8): : 2429 - 2434
  • [38] Exponential periodicity and stability of cellular neural networks with distributed delays
    Zhou, Li-Qun
    Hu, Guang-Da
    Xitong Fangzhen Xuebao / Journal of System Simulation, 2008, 20 (10): : 2511 - 2514
  • [39] New proof on exponential convergence for cellular neural networks with time-varying delays
    Changjin Xu
    Peiluan Li
    Boundary Value Problems, 2019
  • [40] New proof on exponential convergence for cellular neural networks with time-varying delays
    Xu, Changjin
    Li, Peiluan
    BOUNDARY VALUE PROBLEMS, 2019,