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Global asymptotic stability condition for a class of delayed cellular neural networks

LIU Jing 1,2   

  1. 1. Department of Mathematics and Information Science, Binzhou University, Binzhou 256603, Shandong, China;
    2. Department of Mathematics and Systems Science, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-05-14 Revised:1900-01-01 Online:2009-02-24 Published:2009-05-31
  • Contact: LIU Jing

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Abstract:

A sufficient condition is obtained for the uniqueness and global asymptotic stability of the equilibrium point for a class of neural networks with constant time delay by using Lyapunov functionals and combining with matrix inequality technique. The condition contains and improves some of the previous results in the literature.

Key words: Lyapunov functionals, matrix inequality, global asymptotic stability, delayed cellular neural networks

CLC Number: 

  • O175
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