• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 20 Issue 5
Oct.  2007
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Article Contents
WEN Haixia, HUANG Lixiang, ZHANG Jiye. Absolute Exponential Stability of Generalized Hopfield Neural Networks[J]. Journal of Southwest Jiaotong University, 2007, 20(5): 583-588.
Citation: WEN Haixia, HUANG Lixiang, ZHANG Jiye. Absolute Exponential Stability of Generalized Hopfield Neural Networks[J]. Journal of Southwest Jiaotong University, 2007, 20(5): 583-588.

Absolute Exponential Stability of Generalized Hopfield Neural Networks

  • Received Date: 08 Dec 2006
  • Publish Date: 25 Oct 2007
  • The existence and uniqueness of the equilibrium point of a class of generalized Hopfield neural networks(GHNN),altogether with its absolute exponential stability,were investigated.GHNN includes Hopfield neural networks and cellular neural networks,and it is not necessary for its activation functions to be differential and bounded functions.By applying the topology theory,the necessary and sufficient condition for the existence and uniqueness of the equilibrium point of GHNN was obtained.Based on matrix properties,the sufficient conditions for the absolute exponential stability of GHNN were given by constructing Lurie-type Liapunov functions.In some special cases,the necessary and sufficient conditions of the absolute exponential stability of neural networks were determined.

     

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