史宝丽,黄立宏.一类时滞细胞神经网络的全局指数稳定性[J].南华大学学报(自然科学版),2007,21(4):52~56.[.Global Exponential Stability of CNNs with Variable Delays[J].Journal of University of South China(Science and Technology),2007,21(4):52~56.]
一类时滞细胞神经网络的全局指数稳定性
Global Exponential Stability of CNNs with Variable Delays
  修订日期:2007-10-13
DOI:
中文关键词:  细胞神经网络  全局指数稳定性  变时滞  Lyapunov函数  Young不等式
英文关键词:CNNs,Global exponential stability,Variable delay,Lyapunov functional,Young inequality
基金项目:
史宝丽  黄立宏
湖南大学数学与计量经济学院 湖南大学数学与计量经济学院 湖南长沙 湖南长沙
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中文摘要:
      通过建立Lyapunov函数,并利用Young不等式,讨论了一类变时滞细胞神经网络的全局指数稳定性,获得了与时滞无关的判定条件.这些结论推广了现有文献中的一些结果,并给出了几个例子来说明这些结论的实用性和普适性.
英文摘要:
      In this paper,some sufficient conditions for guaranteeing the global exponential stability of cellular neural networks with variable delays is derived.These conditions are derived by using Lyapunov functional method and combining Young inequality.Furthermore,these stability conditions depend only on the network's coefficients,and are totally independent of the delays.Our results are shown to be superior to the existing ones.Numerical examples are given to demonstrate the effectiveness of our results.
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