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一类具有连续分布时滞的细胞神经网络的全局指数稳定性和周期解 被引量：1

The Exponential Stability & Periodic Solutions of a Class of Cellular Neural Networks with Continuous-distributed Delays
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摘要 研究了一类具有连续分布时滞的细胞神经网络的全局指数稳定性和周期解的存在性,通过运用新的分析技巧和构造适当的Lyapunov函数,给出了该网络的全局指数稳定性和周期解的存在的简单充分条件。 This article discusses the global exponential stability and the existence of periodic solutions of a class of continuous-distributed delayed cellular neural networks(DCNNs),to which simple and sufficient conditions are provided by applying new analysis techniques and constructing suitable Lyapunov functions.
作者 戴志娟
机构地区 扬州教育学院数学系
出处 《扬州教育学院学报》 2006年第3期39-43,共5页 Journal of Yangzhou College of Education
关键词 指数稳定性 周期解 细胞神经网络 时滞 LYAPUNOV函数 exponential stability periodic solution cellular neural network delay Lyapunov function
分类号 O175 [理学—基础数学]
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参考文献8

  • 1[1]L.O.Chua and L.Yang,"Cellular neural networks:Theory," IEEE Trans.Circuits Syst.,vol.35,no.10,pp.1257-1272,1988.
  • 2[2]L.O.Chua and L.Yang,"Cellular neural networks:Applications," IEEE Trans.Circuits Syst.,vol.35,no.10,pp.1273-1290,1988.
  • 3[3]J.Cao,"Global stability for delayed cellular neural networks," IEEE Workshop,Madison,Wisconsin,Aug.1999.
  • 4[4]J.Cao,"On exponential stability and periodic solutions of CNNs with delays," Physics Letter A,vol.267,no.6-7,pp.312-318,2000.
  • 5[5]J.Cao,"Exponential stability and periodic solutions of delayed cellular neural networks," Science in China(Series E),Vol.43,no.3,pp.328-336,2000.
  • 6[6]J.Cao,"periodic oscillation and exponential stability of delayed CNNs," Physics Letter A,vol.270,no.3-4,pp.157-163,2000.
  • 7[7]J.Cao,"A set of stability criteria for delayed cellular neural networks," IEEE Trans.Circuits Syst.I,48,1330 -1333,2001.
  • 8[8]H.Huang,J.Cao,J.Wang,"Global exponential stability and periodic solutions of recurrent neural networks with delays," Physics Letter A,vol.298,no.5-6,pp.393-404,2002.

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扬州教育学院学报
2006年 第3期

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