• DocumentCode
    3373427
  • Title

    A study of exponential stability for stochastic delayed neural networks

  • Author

    Chen, Wu-Hua ; Zheng, Wei Xing

  • Author_Institution
    Coll. of Math. & Inf. Sci., Guangxi Univ., Nanning, China
  • fYear
    2010
  • fDate
    May 30 2010-June 2 2010
  • Firstpage
    2562
  • Lastpage
    2565
  • Abstract
    This paper is concerned with analyzing mean square exponential stability of stochastic delayed neural networks subject to parametric uncertainties. The discretized Lyapunov functional technique is first utilized to construct a new Lyapunov functional in order to effectively deal with the time-varying delay. Then the free-weighting matrix technique and the convex combination method are used to establish a new delay-dependent mean square exponential stability criterion for uncertain stochastic delayed neural networks. The usefulness of the new theoretical findings is further demonstrated by numerical results.
  • Keywords
    Lyapunov matrix equations; asymptotic stability; convex programming; delays; neural nets; stochastic systems; uncertain systems; convex combination method; delay dependent mean square exponential stability criterion; discretized Lyapunov functional technique; free weighting matrix technique; mean square exponential stability; parametric uncertainties; time varying delay; uncertain stochastic delayed neural networks; Australia; Delay effects; Mathematics; Neural networks; Neurotransmitters; Robust stability; Stability analysis; Stability criteria; Stochastic processes; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on
  • Conference_Location
    Paris
  • Print_ISBN
    978-1-4244-5308-5
  • Electronic_ISBN
    978-1-4244-5309-2
  • Type

    conf

  • DOI
    10.1109/ISCAS.2010.5537098
  • Filename
    5537098