Global exponential stability of discrete time hopfield neural networks with delays

  • Authors:
  • Qiang Zhang;Wenbing Liu;Xiaopeng Wei

  • Affiliations:
  • University Key Lab of Information Science & Engineering, Dalian University, Dalian, China;School of Computer Science and Engineering, Wenzhou Normal College, Wenzhou, China;University Key Lab of Information Science & Engineering, Dalian University, Dalian, China

  • Venue:
  • ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
  • Year:
  • 2005

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Abstract

By utilizing the Lyapunov function method to analyze stability of discrete time Hopfield neural networks with delays and obtain some new sufficient conditions for the global exponential stability of the equilibrium point for such networks. It is shown that the proposed conditions rely on the connection matrices and network parameters. The presented conditions are testable and less conservative than some given in the earlier references.