Robust exponential stability analysis of neural networks with multiple time delays

  • Authors:
  • Zhanshan Wang;Huaguang Zhang;Wen Yu

  • Affiliations:
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, People's Republic of China and Key Laboratory of Integrated Automation of Process Industry (North ...;School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110004, People's Republic of China;Department de Control Automatico, CINVESTAV-IPN, Mexico City 07360, Mexico

  • Venue:
  • Neurocomputing
  • Year:
  • 2007

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Abstract

This paper considers the robust stability of neural networks with multiple delays. Based on Lyapunov stability theory and linear matrix inequality technique, some new delay independent conditions are derived to guarantee the global robust exponential stability of the equilibrium point. Furthermore, the obtained results are generalized to the interval neural networks and bidirectional associative memory (BAM) neural networks. Two examples are used to show the effectiveness of the obtained results.