• DocumentCode
    794553
  • Title

    Global robust stability analysis of neural networks with multiple time delays

  • Author

    Ozcan, Neyir ; Arik, Sabri

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Istanbul Univ., Turkey
  • Volume
    53
  • Issue
    1
  • fYear
    2006
  • Firstpage
    166
  • Lastpage
    176
  • Abstract
    Global robust convergence properties of continuous-time neural networks with discrete delays are studied. By employing suitable Lyapunov functionals, we derive a set of delay-independent sufficient conditions for the existence, uniqueness, and global robust asymptotic stability of the equilibrium point. The conditions can be easily verified as they can be expressed in terms of the network parameters only. Some numerical examples are given to compare our results with previous robust stability results derived in the literature. One of our main results is shown to improve and generalize a previously published result. Other results proved to establish a new set of robust stability criteria for delayed neural networks.
  • Keywords
    Lyapunov methods; circuit stability; continuous time systems; delays; network analysis; neural nets; Lyapunov functionals; continuous-time neural networks; delayed neural networks; discrete delays; equilibrium analysis; global robust stability analysis; multiple time delays; Associative memory; Asymptotic stability; Convergence; Delay effects; Design optimization; Neural networks; Neurons; Robust stability; Signal design; Signal processing; Delayed neural networks; Lyapunov functionals; equilibrium and stability analysis;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Regular Papers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-8328
  • Type

    jour

  • DOI
    10.1109/TCSI.2005.855724
  • Filename
    1576896