New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks

  • Authors:
  • Xian-Ming Zhang;Qing-Long Han

  • Affiliations:
  • Centre for Intelligent and Networked Systems and the School of Computing Sciences, Central Queensland University, Rockhampton, Qld., Australia;Centre for Intelligent and Networked Systems and the School of Computing Sciences, Central Queensland University, Rockhampton, Qld., Australia

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2009

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Abstract

This brief deals with the problem of global asymptotic stability for a class of delayed neural networks. Some new Lyapunov-Krasovskii functionals are constructed by nonuniformly dividing the delay interval into multiple segments, and choosing proper functionals with different weighting matrices corresponding to different segments in the Lyapunov-Krasovskii functionals. Then using these new Lyapunov-Krasovskii functionals, some new delay-dependent criteria for global asymptotic stability are derived for delayed neural networks, where both constant time delays and time-varying delays are treated. These criteria are much less conservative than some existing results, which is shown through a numerical example.