• DocumentCode
    624705
  • Title

    Exponential stability of stochastic MJSNNs with partly unknown transition probabilities

  • Author

    Chunge Lu ; Linshan Wang

  • Author_Institution
    Coll. of Math. Sci., Ocean Univ. of China, Qingdao, China
  • fYear
    2013
  • fDate
    9-11 June 2013
  • Firstpage
    730
  • Lastpage
    735
  • Abstract
    This paper investigates exponential stability of stochastic Markovian jumping static neural networks (MJSNNs) with mode-dependent time-varying delays and partly unknown transition probabilities. Based on the Lyapunov-Krasovskii functional method and stochastic analysis technique, some new stochastic stability criteria are derived to guarantee the exponential stability in mean square of Markovian jumping static neural networks in terms of linear matrix inequalities. A numerical example is provided to illustrate the efficiency of the main results obtained at the end.
  • Keywords
    Lyapunov methods; Markov processes; asymptotic stability; least mean squares methods; linear matrix inequalities; neural nets; Lyapunov-Krasovskii functional method; exponential stability; linear matrix inequalities; mean square; mode-dependent time-varying delays; partly unknown transition probabilities; stochastic MJSNN; stochastic Markovian jumping static neural networks; stochastic analysis technique; stochastic stability criteria; Biological neural networks; Control theory; Delays; Stability analysis; Stochastic processes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Information Processing (ICICIP), 2013 Fourth International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4673-6248-1
  • Type

    conf

  • DOI
    10.1109/ICICIP.2013.6568169
  • Filename
    6568169