• DocumentCode
    1583560
  • Title

    Globally Exponential Stability of Discrete-time Cellular Neural Networks With Discrete Delays

  • Author

    Ju, Peijun ; Zhang, Wei ; Liu, Guocai ; Tian, Li

  • Author_Institution
    Taishan Univ., Taian
  • Volume
    1
  • fYear
    2007
  • Firstpage
    188
  • Lastpage
    191
  • Abstract
    Using the technique by virtue of Young and Halanay inequalities, a new sufficient condition for the globally exponential stability of a class of discrete-time cellular neural networks with delays is given. We discard the demand that activation functions must be derivable and only request them to be Lipschitz continuous, in this way the criteria given for globally exponential stability relies on the feedback matrices and is independent of the delay parameter.
  • Keywords
    asymptotic stability; cellular neural nets; delays; discrete time systems; feedback; matrix algebra; neurocontrollers; transfer functions; Lipschitz continuous function; activation function; discrete delay; discrete-time cellular neural network; feedback matrix; globally exponential stability; Artificial neural networks; Cellular neural networks; Delay effects; Delay systems; Differential equations; Hydrogen; Mathematics; Neurofeedback; Stability criteria; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2007. ICNC 2007. Third International Conference on
  • Conference_Location
    Haikou
  • Print_ISBN
    978-0-7695-2875-5
  • Type

    conf

  • DOI
    10.1109/ICNC.2007.406
  • Filename
    4344179