• DocumentCode
    2814441
  • Title

    Stability Analysis of Uncertain Stochastic Neural Networks with Interval Time-Varying Delays

  • Author

    Feng, Wei ; Wu, Haixia ; Zhang, Wei

  • Volume
    3
  • fYear
    2009
  • fDate
    14-16 Aug. 2009
  • Firstpage
    547
  • Lastpage
    551
  • Abstract
    This paper is concerned the robust stability analysis problem for uncertain stochastic neural networks with interval time-varying delays. By utilizing a Lyapunov functional and conducting stochastic analysis, we show that the addressed neural networks are globally, robustly, asymptotically stable if a convex optimization problem is feasible. A stability criterion is derived such that for all admissible uncertainties. And the stability criterion is formulated by means of the feasibility of a linear matrix inequality (LMI), which can be effectively solved by some standard numerical packages. A numerical example is given to demonstrate the usefulness of the proposed robust stability criterion.
  • Keywords
    Lyapunov methods; asymptotic stability; convex programming; delays; linear matrix inequalities; neural nets; stochastic systems; uncertain systems; Lyapunov functional; asymptotic stability; convex optimization problem; interval time-varying delays; linear matrix inequality; robust stability analysis; stability criterion; stochastic analysis; uncertain stochastic neural network; Biological neural networks; Computer networks; Delay effects; Educational institutions; Neural networks; Robust stability; Stability analysis; Stability criteria; Stochastic processes; Uncertainty; interval time-varying delays; stability; uncertain stochastic neural networks;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2009. ICNC '09. Fifth International Conference on
  • Conference_Location
    Tianjin
  • Print_ISBN
    978-0-7695-3736-8
  • Type

    conf

  • DOI
    10.1109/ICNC.2009.732
  • Filename
    5363195