Asymptotic Stability of Second-Order Discrete-Time Hopfield Neural Networks with Variable Delays

  • Wei Zhu
  • Daoyi Xu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3971)


This paper studies the problem of asymptotic stability of second-order discrete-time Hopfield neural networks with variable delays. By utilizing inequality techniques, we obtain sufficient conditions for the existence and asymptotic stability of an equilibrium point and estimate the region of existence and the attraction domain of the equilibrium point. A numerical example is given to illustrate our theoretical results.


Neural Network Equilibrium Point Asymptotic Stability Exponential Stability Attraction Domain 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Wei Zhu
    • 1
    • 2
  • Daoyi Xu
    • 2
  1. 1.Institute of Applied MathematicsChongqing University of Posts and TelecommunicationsChongqingChina
  2. 2.Institute of MathematicsSichuan UniversityChengduChina

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