Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (2): 264-268.

• Articles • Previous Articles     Next Articles

Exponential Stability of Cellular Neural Networks

CHEN Die, JIANG Meng-Hui, TAO Hong-Shan-   

  1. 华中科技大学控制科学与工程系
  • Online:2005-04-25 Published:2005-04-25
  • Supported by:

    国家自然科学基金(60074008,60274007)和湖北省自然科学基金(2004ABA055)资助

Abstract:

In this paper the authors  investigate the exponential s tability of stochastic cellular neural networks with variable delay. By using th e Razumikhin theorems and Lyapunov functions, the authors  present two types of  criteria for the exponential stability in the mena square and almost surely expo nential stability of cellular neural networks. One type involves delay independe nt results while the other  involves delay dependent results.

Key words: Cellular neural network,Exponential stability,Razumikhin , theorem,Lyapunov function

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