• DocumentCode
    3559944
  • Title

    Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays

  • Author

    Yang, Rongni ; Gao, Huijun ; Shi, Peng

  • Author_Institution
    Dept. of Control Sci. & Eng., Harbin Inst. of Technol., Harbin
  • Volume
    39
  • Issue
    2
  • fYear
    2009
  • fDate
    4/1/2009 12:00:00 AM
  • Firstpage
    467
  • Lastpage
    474
  • Abstract
    In this paper, the problem of asymptotic stability for stochastic Hopfield neural networks (HNNs) with time delays is investigated. New delay-dependent stability criteria are presented by constructing a novel Lyapunov-Krasovskii functional. Moreover, the results are further extended to the delayed stochastic HNNs with parameter uncertainties. The main idea is based on the delay partitioning technique, which differs greatly from most existing results and reduces conservatism. Numerical examples are provided to illustrate the effectiveness and less conservativeness of the developed techniques.
  • Keywords
    Hopfield neural nets; Lyapunov methods; delays; robust control; stochastic processes; uncertain systems; Lyapunov-Krasovskii functional; delay partitioning technique; robust stability criteria; stochastic Hopfield neural networks; time delays; Hopfield neural networks (HNNs); Lyapunov–Krasovskii functional; Lyapunov–Krasovskii functional; robust stability; stochastic systems; time delay; uncertainties;
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • Conference_Location
    12/16/2008 12:00:00 AM
  • ISSN
    1083-4419
  • Type

    jour

  • DOI
    10.1109/TSMCB.2008.2006860
  • Filename
    4717263