• DocumentCode
    843687
  • Title

    New Sufficient Conditions for Global Robust Stability of Delayed Neural Networks

  • Author

    Qi, Houduo

  • Author_Institution
    Sch. of Math., Southampton Univ.
  • Volume
    54
  • Issue
    5
  • fYear
    2007
  • fDate
    5/1/2007 12:00:00 AM
  • Firstpage
    1131
  • Lastpage
    1141
  • Abstract
    In this paper, we continue to explore application of nonsmooth analysis to the study of global asymptotic robust stability (GARS) of delayed neural networks. In combination with Lyapunov theory, our approach gives several new types of sufficient conditions ensuring GARS. A significant common aspect of our results is their low computational complexity. It is demonstrated that the reported results can be verified either by conducting spectral decompositions of symmetric matrices associated with the uncertainty sets of network parameters, or by solving a semidefinite programming problem. Nontrivial examples are constructed to compare with some closely related existing results
  • Keywords
    Lyapunov methods; asymptotic stability; computational complexity; neural nets; Lyapunov function; computational complexity; delayed neural networks; equilibrium point; global asymptotic robust stability; Asymptotic stability; Computational complexity; Helium; Lyapunov method; Neural networks; Neurons; Robust stability; Sufficient conditions; Symmetric matrices; Uncertainty; Delayed neural networks; Lyapunov function; equilibrium point; global asymptotic robust stability (GARS); nonsingularity;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Regular Papers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-8328
  • Type

    jour

  • DOI
    10.1109/TCSI.2007.895524
  • Filename
    4195647