Robust stability analysis for stochastic neural networks with time-varying delay

  • Authors:
  • Wu-Hua Chen;Wei Xing Zheng

  • Affiliations:
  • College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, China;School of Computing and Mathematics, University of Western Sydney, Penrith South DC, NSW, Australia

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2010

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Abstract

This brief investigates the problem of mean square exponential stability of uncertain stochastic delayed neural networks (DNNs) with time-varying delay. A novel Lyapunov functional is introduced with the idea of the discretized Lyapunov-Krasovskii functional (LKF) method. Then, a new delay-dependent mean square exponential stability criterion is derived by applying the free-weighting matrix technique and by equivalently eliminating time-varying delay through the idea of convex combination. Numerical examples illustrate the effectiveness of the proposed method and the improvement over some existing methods.