• DocumentCode
    2774133
  • Title

    Mean square stability for stochastic neural networks with distributed and interval time-varying delays

  • Author

    Wu, Haixia ; Feng, Wei ; Zhang, Wei ; Dan, Songjian

  • Author_Institution
    Dept. of Comput. & Modern Educ. Technol., Chongqing Educ. Coll., Chongqing, China
  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    3224
  • Lastpage
    3228
  • Abstract
    This paper is concerned with the asymptotic stability analysis problem for stochastic neural networks with distributed and interval time-varying delays. By using the stochastic analysis approach, employing some free-weighting matrices and introducing an appropriate type of Lyapunov functional which takes into account the ranges of delays, a new delay-range-dependent stability criterion is established to guarantee the delayed neural networks to be asymptotically stable in the mean square. A numerical example has also been used to demonstrate the usefulness of the main result.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; Lyapunov functional; asymptotic stability analysis; delay-range-dependent stability criterion; free-weighting matrices; interval time-varying delays; mean square stability; stochastic analysis; stochastic neural network; Asymptotic stability; Biological neural networks; Computer science education; Delay effects; Educational institutions; Neural networks; Stability analysis; Stability criteria; Stochastic processes; Symmetric matrices; Distributed delays; Interval time-varying delays; Linear matrix inequalities(LMIs); Stability; Stochastic Neural networks;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference, 2009. CCDC '09. Chinese
  • Conference_Location
    Guilin
  • Print_ISBN
    978-1-4244-2722-2
  • Electronic_ISBN
    978-1-4244-2723-9
  • Type

    conf

  • DOI
    10.1109/CCDC.2009.5191480
  • Filename
    5191480