Global stability conditions of locally recurrent neural networks

  • Authors:

  • Krzysztof Patan;Józef Korbicz;Przemysław Pretki

  • Affiliations:

  • Institute of Control and Computation Engineering, University of Zielona Góra;Institute of Control and Computation Engineering, University of Zielona Góra;Institute of Control and Computation Engineering, University of Zielona Góra

  • Venue:
  • ICANN'05 Proceedings of the 15th international conference on Artificial neural networks: formal models and their applications - Volume Part II
  • Year:
  • 2005

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Abstract

The paper deals with a discrete-time recurrent neural network designed with dynamic neural models. Dynamics is reproduced within each single neuron, hence the considered network is a locally recurrent globally feed-forward. In the paper, conditions for global stability of the considered neural network are derived using the pole placement and Lyapunov second method.