您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(理学版)》

山东大学学报(理学版) ›› 2014, Vol. 49 ›› Issue (12): 60-65.doi: 10.6040/j.issn.1671-9352.0.2014.181

• 论文 • 上一篇    下一篇

S-分布时滞随机广义细胞神经网络的均方指数稳定性分析

甄艳, 王林山   

  1. 中国海洋大学数学科学学院, 山东 青岛 266100
  • 收稿日期:2014-04-23 修回日期:2014-09-24 出版日期:2014-12-20 发布日期:2014-12-20
  • 通讯作者: 王林山(1955- ),男,教授,博士生导师,研究方向为动力系统与神经网络. E-mail:WangLS@ouc.edu.com E-mail:WangLS@ouc.edu.com
  • 作者简介:甄艳(1988- ),女,硕士研究生,研究方向为动力系统与神经网络.E-mail:zhenyanshuoji@139.com
  • 基金资助:
    国家自然科学基金资助项目(11171374);山东省自然科学基金重点资助项目(ZR2011AZ001)

Mean square exponential stability analysis of stochastic generalized cellular neural networks with S-type distributed delays

ZHEN Yan, WANG Lin-shan   

  1. School of Mathematical Science, Ocean University of China, Qingdao 266100, Shandong, China
  • Received:2014-04-23 Revised:2014-09-24 Online:2014-12-20 Published:2014-12-20

摘要: 利用Lyapunov泛函方法和随机分析技巧,研究了S-分布时滞随机广义细胞神经网络的全局均方指数稳定性。给出了稳定性判据。仿真实验验证了结论的正确性。

关键词: 随机分析, 均方指数稳定, 广义细胞神经网络, S-分布时滞, Lyapunov泛函

Abstract: Global exponential stability of generalized cellular neural networks with S-type distributed delays was discussed by using Lyapunov functional method and stochastic analysis technique. A criterion for the stability in mean square was obtained. Simulation shows the validity of the conclusions.

Key words: S-type distributed delays, Lyapunov functional, exponential stability in mean square, generalized cellular neural networks, stochastic analysis

中图分类号: 

  • O175
[1] ESPEJO S, CARMONA R, CASTRO R D, et al. A VLSI-oriented continuous time CNN model[J]. International Journal of Circuit Theory and Applications, 1996, 24:341-356.
[2] CHUA L O,YANG L. Cellular neural networks:theory[J].IEEE Transactions on Circuits Systems, 1988, 35(10):1257-1272.
[3] KWON O, LEE S, PARK J H. Improved delay-dependent exponential stability for uncertain stochastic competitive neural networks with time-varying delays[J]. Physics Letters A, 2008, 374:219-233.
[4] CHEN Haibo, DOUGHERTY M S, KIRBY H R. The effects of detector spacing on traffic forecasting performance using neural networks[J]. Computer Aided Civil and Infrastructure Engineering, 2001, 16(6):422-430.
[5] WAN Anhua, PENG Jigen, WANG Miansen. Exponential stability of a class of generalized neural networks with time-varying delays[J].Neural Computing, 2006, 69:959-963.
[6] ZHANG Zhengqiu, LIU Wenbin, ZHOU Dongming. Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays[J].Neural Networks, 2012, 25:94-105.
[7] 王林山. 时滞递归神经网络[M].北京:中国科学出版社,2008. WANG Linshan. Recurrent neural networks with delays[M].Beijing: Chinese Science Press, 2008.
[8] HWANG Chi-Chuan,CHENG Chao-Jung, LIAO The-Lu. Globally exponential stability of generalized Cohen-Grossberg neural networks with delays[J].Physics Letters, 2003, 319:157-166.
[9] FENG Zhiguang, LAM James.Stability and dissipativity analysis of distributed delay cellular neural networks[J].IEEE Transactions on Neural Networks, 2011, 22(6):976-981.
[10] WANG Linshan, XU Daoyi. Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays[J].International Journal of System Science, 2002, 33:495-501.
[11] WALLIS G. Stability criteria for unsupervised temporal association networks[J]. IEEE Transactions on Neural Networks, 2005, 16:301-311.
[12] ZHANG Weiwei,WANG Linshan. Robust stochastic stability analysis for uncertain neutral-type delays neural networks driven by Wiener process [J].Journal of Applied Mathematics, 2012, 2012:829-594.
[13] 沈轶,廖晓昕. 广义的时滞细胞神经网络的动态分析[J].电子学报,1999,27(1):62-64. SHEN Yi, LIAO Xiaoxin. Dynamic analysis for generalized cellular neural networks with delay [J]. Acta Electronica Sinica, 1999, 27(1):62-64.
[14] LU Junxiang, MA Yichen. Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks[J].Chaos Solutions and Fractals, 2008, 38:1323-1331.
[15] MAO Xuerong. Stochastic differential equation and applications[M]. Chichester:Horwood Publishing Limited, 1997.
[1] 王长弘,王林山. 基于忆阻器的S-分布时滞随机神经网络的均方指数稳定性[J]. 山东大学学报(理学版), 2016, 51(5): 130-135.
[2] 常青, 周立群*. 一类具时滞细胞神经网络的全局一致渐近稳定性[J]. J4, 2012, 47(8): 42-49.
[3] 张伟伟1,王林山2*. S-分布时滞随机区间细胞神经网络的全局指数鲁棒稳定性[J]. J4, 2012, 47(3): 87-92.
[4] 张若军,王林山 . S-分布时滞区间细胞神经网络的全局渐近鲁棒稳定性[J]. J4, 2007, 42(2): 39-42 .
[5] 朱庆峰,石玉峰 . 局部Lipschitz条件下的正倒向重随机微分方程[J]. J4, 2007, 42(12): 58-62 .
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!