• DocumentCode
    2246742
  • Title

    Delay-dependent robust stochastic stability of cellular neural networks with Markovian jumping parameters

  • Author

    Zhou, Chang-Jie ; Guo, Shao-cong ; Jun-Kang Hao ; Yang, Li-yun

  • Author_Institution
    Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
  • Volume
    5
  • fYear
    2010
  • fDate
    11-14 July 2010
  • Firstpage
    2222
  • Lastpage
    2227
  • Abstract
    The robust stochastic stability for a class of uncertain delayed cellular neural networks (DCNNs) with discrete and distributed delays and Markovian jumping parameters is considered in this paper. By introducing some free weighting matrices and constructing a Lyapunov-Krasovskii functional and combining Leibniz-Newton formula, we get a novel robust stochastic stability criteria for DCNNs with Markovian jumping parameters. Delay-dependent criteria are proposed to guarantee the robust stochastic stability of DCNNs via LMI approach. Finally, numerical examples are given to illustrate the effectiveness of the proposed method and an improvement on some existing results in the literature.
  • Keywords
    Lyapunov methods; Markov processes; cellular neural nets; delay systems; linear matrix inequalities; neurocontrollers; robust control; uncertain systems; DCNN; LMI approach; Leibniz-Newton formula; Lyapunov-Krasovskii functional; Markovian jumping parameter; delay-dependent robust stochastic stability; discrete delay; distributed delay; free weighting matrices; uncertain delayed cellular neural network; Artificial neural networks; Asynchronous transfer mode; Differential equations; Neurons; Nickel; Robustness; Delay-dependent; Markovian jumping parameters; cellular neural networks; discrete and distributed delays; globally asymptotically stable; linear matrix inequalities (LMIs);
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
  • Conference_Location
    Qingdao
  • Print_ISBN
    978-1-4244-6526-2
  • Type

    conf

  • DOI
    10.1109/ICMLC.2010.5580638
  • Filename
    5580638