• DocumentCode
    1046574
  • Title

    Further Results on Delay-Dependent Stability Criteria of Neural Networks With Time-Varying Delays

  • Author

    Li, Tao ; Guo, Lei ; Sun, Changyin ; Lin, Chong

  • Author_Institution
    Southeast Univ., Nanjing
  • Volume
    19
  • Issue
    4
  • fYear
    2008
  • fDate
    4/1/2008 12:00:00 AM
  • Firstpage
    726
  • Lastpage
    730
  • Abstract
    In this brief paper, an augmented Lyapunov functional, which takes an integral term of state vector into account, is introduced. Owing to the functional, an improved delay-dependent asymptotic stability criterion for delayed neural networks (NNs) is derived in term of linear matrix inequalities (LMIs). It is shown that the obtained criterion can provide less conservative result than some existing ones. When linear fractional uncertainties appear in NNs, a new robust delay-dependent stability condition is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.
  • Keywords
    Lyapunov methods; asymptotic stability; linear matrix inequalities; neural nets; stability criteria; time-varying systems; augmented Lyapunov functional; delay-dependent asymptotic stability criterion; linear matrix inequalities; neural networks; time-varying delays; Asymptotic stability; delay-dependent; linear matrix inequality (LMI); neural networks (NNs); robust stability; Computer Simulation; Linear Models; Models, Theoretical; Neural Networks (Computer); Time Factors;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/TNN.2007.914162
  • Filename
    4439296