• DocumentCode
    554010
  • Title

    Existence and stability of periodic solution for a class of stochastic delayed neural networks

  • Author

    Jialing Wang ; Quanxin Zhu

  • Author_Institution
    Dept. of Math., Ningbo Univ., Ningbo, China
  • Volume
    1
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    329
  • Lastpage
    334
  • Abstract
    This paper deals with a class of stochastic neural networks with mixed time delays. The mixed time delays considered in this paper are time varying and continuously distributed delays. By utilizing Lyapunov function, stochastic analysis, Halanay-type inequality and Young inequality, we establish the existence, uniqueness and pth moment exponential stability of periodic solution for the suggested system. Moreover, an example is provided to illustrate the effectiveness of the obtained results.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; neural nets; stochastic processes; Halanay-type inequality; Lyapunov function; Young inequality; continuously distributed delay; mixed time delays; periodic solution stability; pth moment exponential stability; stochastic analysis; stochastic delayed neural network; time varying delay; Biological neural networks; Delay; Delay effects; Numerical stability; Stability criteria; Stochastic processes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation (ICNC), 2011 Seventh International Conference on
  • Conference_Location
    Shanghai
  • ISSN
    2157-9555
  • Print_ISBN
    978-1-4244-9950-2
  • Type

    conf

  • DOI
    10.1109/ICNC.2011.6022120
  • Filename
    6022120