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含分布时滞的随机Cohen-Grossberg神经网络的p阶指数稳定性 被引量:1

p-th Moment Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Distributed Delays
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摘要 一类含分布时滞的随机Cohen-Grossberg神经网络模型的稳定性被讨论.通过运用Razumikin定理和不等式技巧,该网络平凡解p阶指数稳定性的充分条件被建立.通过一个例子,说明结果的有效性. In this paper, the p-th moment exponential stability of stochastic Cohen-Grossberg neural networks with distributed delays is discussed. Based on the Razumikin-type theorem and inequality techniques, some sufficient conditions are derived to ensure the p-th moment exponential stability of the system. A numerical example is given to illustrate the effectiveness of the results.
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第1期7-13,共7页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(11271270) 四川省应用基础研究项目(2009JY0066) 四川省教育厅重点科研项目(10ZA125) 高等学校博士点学科专项科研基金(20105134110001)资助项目
关键词 随机Cohen-Grossberg神经网络 分布时滞 Razumikin定理 p阶指数稳定性 stochastic Cohen-Grossberg neural networks distributed delays Razumikin-type theorem p-th moment exponential stability
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参考文献13

  • 1Sun J H,Li W. Global exponential stability and periodic solutions of Cohen-Grossberg neural networks with continuously distributed delays[J].Physica,2005.1-20. 被引量:1
  • 2Liu B W,Huang L H. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays[J].Chaos,Solitons and Fractals,2007.617-627. 被引量:1
  • 3Zhang F X,Liu B W,Huang L H. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays[J].Computers and Mathematics with Applications,2007.1325-1338. 被引量:1
  • 4Zhao H Y,Nan D. Dynamic analysis of stochastic Cohen-Grossberg neural networks with delays[J].Applied Mathematics and Computation,2006.464-470. 被引量:1
  • 5Cao J D,Liang J L. Boundedness and stability for Cohen-Grossberg neural network with time-varying delays[J].Journal of Mathematical Analysis and Applications,2004.665-685. 被引量:1
  • 6Feng J E,Xu S Y. New criteria on global robust stability of Cohen-Grossberg neural networks with time-varying delays[J].Neurocomputing,2008.445-457. 被引量:1
  • 7Liu J. Global exponential stability of Cohen-Grossberg neural networks with both time-varying delays[J].Chaos,Solitons and Fractals,2005.935-945. 被引量:1
  • 8Huang T W,Li C D,Chen G. Stability of Cohen-Grossberg neural networks with unbounded distributed delays[J].Chaos,Solitons and Fractals,2007.992-996. 被引量:1
  • 9Li T,Fei S M,Guo Y Q. Stability analysis on Cohen-Grossberg neural network with both time-varying and continuously distributed delays[J].Nonlinear Anal:RWA,2009.2600-2612. 被引量:1
  • 10Zhu E W,Zhang H M,Wang Y. p-th moment exponential stability of stochastic Cohen-Grossberg neural network with time-varying delays[J].Neural Processing Letters,2007.191-200. 被引量:1

同被引文献15

  • 1李永昆.具有偏差变元的双曲型微分方程组解的振动性[J].数学学报(中文版),1997,40(1):100-105. 被引量:66
  • 2Gyori I,Krisztin T.Oscillation results for linear partial delay differential equations[J].J Math Anal Appl,1993,174:204-217. 被引量:1
  • 3He M X,Liu A P.The oscillation of hyperbolic functional differential equations[J].Appl Math Comput,2003,143:205-224. 被引量:1
  • 4Li W N,Meng F W.Forced oscillation for certain systems of hyperbolic differential equations[J].Appl Math Comput,2003,141:313-320. 被引量:1
  • 5Wang P G,Wang M,Ge W.Further results on oscillation of hyperbolic differential equations of neutral type[J].J Appl Anal,2004,10(1):117-129. 被引量:1
  • 6Yoshida N.Oscillation Theory of Partial Differential Equations[M].Singapore:World Scientific Publishing,2008. 被引量:1
  • 7Pao C V.Dynamics of nonlinear parabolic system with time delays[J].J Math Anal Appl,1996,198:751-779. 被引量:1
  • 8Wu J H.Theory and Applications of Partial Functional Differential Equations[M].New York:Springer-Verlag,1996. 被引量:1
  • 9Ladde G S,Lakshmikantham V,Zhang B G.Oscillation Theory of Differential Equations with Deviating Arguments[M].New York:Marcel Dekker,1987. 被引量:1
  • 10黄泽娟,李树勇.一类非线性时滞抛物型方程解的振动性[J].四川师范大学学报(自然科学版),2010,33(3):298-301. 被引量:1

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