期刊文献+

具有限分布时滞的模糊BAM神经网络模型概周期解的存在性及指数稳定性 被引量:2

Existence and exponential stability of almost periodic solution for fuzzy BAM neural networks with finite distributed delays
原文传递
导出
摘要 利用指数二分法和不动点定理,得到了含有限分布时滞的模糊BAM细胞神经网络概周期解存在性的充分条件,通过构造李雅普诺夫函数和Yang不等式,得到了概周期解的全局指数稳定性. Using exponential dichotomy and the fixed point theory,we construct suitable Lyapunov functional and Yang inequality and obtain some sufficient conditions to ensure the existence and globally exponential stability of almost periodic solution for fuzzy bi-directional associative memory (BAM) neural networks with finite distributed delays.
作者 杜瑞霞 刘萍
出处 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第4期378-384,391,共8页 Journal of Yunnan University(Natural Sciences Edition)
基金 云南省自然科学基金资助项目(2007A159M) 云南省教育厅科学研究基金资助项目(k1050559)
关键词 概周期解 模糊神经网络 全局指数稳定 指数二分法 不动点定理 分布时滞 almost periodic solution fuzzy cellular neural networks globally exponential stability exqonential dichotomy fixed pointtheory distributed delay
  • 相关文献

参考文献15

  • 1KOSKO B. Bidirectional associative memories[ J]. IEEE Trans Syst Man Cybern, 1988, SMC -18:49-60.
  • 2CHEN A, CAO J, HUANG L. Exponential stability of BAM neural networks with transmission delays [ J ]. Neuroeomputing, 2004,57:435-454.
  • 3LOU X, CUI B. Robust asymptotic stability of uncertain fuzzy BAM neural networks with time - varying delays [ J ]. Fuzzy Sets Syst,2007,158:2 746-2 756.
  • 4SENAN S,ARIK S. Global robust stability of bidirectional associative memory neural networks with multiple time delays[ J]. IEEE Trans Syst Man Cybern,2OO7(Part B),37:1 375-1 381.
  • 5王文强,李寿佛,黄山.非线性随机延迟微分方程半隐式Euler方法的收敛性[J].云南大学学报(自然科学版),2008,30(1):11-15. 被引量:9
  • 6ZHAO H, DING N. Dynamic analysis of stochastic bidirectional associative memory neural networks with delays [ J ]. Chaos Solitons and Fractals,2007 ,32 :1 692-1 702.
  • 7LIU Z, CHEN A, HUANG L. Existence and exponential stability of periodic solution to self - connection BAM neural networks with delays[J]. Phys Lett A,2004,328:127-143.
  • 8YUAN K, CAO J, DENG J. Exponential stability and periodic solutions of fuzzy cellular neural networks with time - varying delays [ J ]. Neurocomputing,2006,69 : 1 619-1 627.
  • 9LI Y, LIU P. Existence and stability of periodic solutions for BAM neural networks with delays [ J ]. Math Comput Model, 2004,40:757-770.
  • 10巩增泰,赵乖霞.模糊直线上模糊数值函数的Henstock积分[J].云南大学学报(自然科学版),2008,30(6):541-548. 被引量:5

二级参考文献21

  • 1王文强,黄山,李寿佛.非线性随机延迟微分方程Euler-Maruyama方法的均方稳定性[J].计算数学,2007,29(2):217-224. 被引量:10
  • 2WU Cong-xin, GONG Zeng-tai. On Henstock integrals of fuzzy- valued functions(Ⅰ)[J]. Fuzzy Sets and Systems, 2001, 120(3) : 523-532.
  • 3GONG Zeng-tai, WU Cong-xin. On theproblem of characterizing derivatives for the fuzzy-valued functions[J]. Fuzzy Sets and Systems, 2002, 127(3) :315-322.
  • 4GONG Zeng-tai, WU Cong-xin. Bounded variation, absolutecontinuous and absolute integrability for fuzzy- number- valued functions[J]. Fuzzy Sets and Systems, 2002,129(1) : 83-94.
  • 5GONG Zeng-tai. On the problem of characterizing derivatives for the fuzzy - valued functions( Ⅱ )[ J]. Fuzzy Sets and Systems, 2004, 145(3) : 381-393.
  • 6LI Hong-liang, WU Cong-xin. The integral of a fuzzy mapping over a directed line[J]. Fuzzy Sets and Systems, 2007,158 (21): 2317-2338.
  • 7LEE P Y. Lanzhou lectures on Henstock integration[ M]. Singapore: World Scientific, 1989.
  • 8ZHAIZhi-chun HUANGHui.Three kinds of generalized convex set - valuedmappings and vector optimization.云南大学学报:自然科学版,2006,28(1):6-10.
  • 9PURI M L, RALESCU D A. Fuzzy random variables[J]. Journal of Mathematics Analysis and Applications, 1986, 114(2) : 409-422.
  • 10KALEVA O. Fuzzy differential equations[ J]. Fuzzy Sets and Systems, 1987, 24(3) : 301-317.

共引文献12

同被引文献25

  • 1陈畴镛,吴国财.产业集群与第三方物流的共生模型及稳定性分析[J].杭州电子科技大学学报(社会科学版),2007,3(4):16-20. 被引量:6
  • 2ALZABUT J O,STAMOV G T,SERMUTLU E.Positive almost periodic solutions for a delay logarithmic population model[J].Mathematical and Computer Modelling,2011,53:161-167.
  • 3HE M X,CHEN F D,LI Z.Almost periodic solution of an impulse differential equation model of plankton allelopathy[J].Nonlinear Analysis,2010,11:2 296-2 301.
  • 4HUANG Z D,GONG S H,WANG L J.Positive almost periodic solution for a class of Lasota-Wazewska model with multipletiming-varing delays[J].Computers and Mathematics with Applications,2011,61:755-760.
  • 5ZHOU H,ZHOU Z F.Weighted pseudo-almost periodic solutions of neutral integral and differential equations[J].Journal ofMathematics Research,2011(4):74-79.
  • 6CHEN X X,LIN F X.Almost periodic solutions of neutral differential equations[J].Nonlinear Analysis,2010,11:1 182-1 189.
  • 7HE C Y.Almost periodic differential equations[M].Beijing:Higher Education Publishing House,1992.
  • 8ZHANG C Y.Pseudo almost periodic solutions of some differential equations[J].J Math Anal Appl,1994,151:62-76.
  • 9DIAGANA T.Weighted pseudo almost periodic solutions to some differential equations[J].Nonlinear Analysis,2008,68(8):2 250-2 260.
  • 10DIAGANA T,MOPHOU G M,N'GURR'KATA G M.Existence of weighted pseudo-almost periodic solutions to some clas-ses of differential equations with Sp-weighted pseudo-almost periodic cofficients[J].Nonlinear Analysis,2010,72:430-438.

引证文献2

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部