Exponential Stability of Delayed Hopfield Neural Networks by Using Comparison Method

  • Wudai Liao
  • Yuguo Chen
Conference paper


The exponential stability of delayed Hopfield neural networks is studied by comparison principle. Hopfield neural networks can be regarded as a linear system perturbed by the exterior input. Based on this view of point, the method of variation of coefficient is used to solve the system’s solutions, which are estimated by its comparison system. By this comparison system, which is a linear differential difference equation, and by using theory of linear functional differential equation, some stability criteria are obtained, which is very simple to verified. An examples are given to show the efficiency of the results in this paper.


Neural Network Exponential Stability Comparison System Comparison Principle Negative Real Part 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Wudai Liao
    • 1
  • Yuguo Chen
  1. 1.School of Electrical and Information EngineeringZhongyuan University of Technology450007 ZhengzhouChina

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