• DocumentCode
    2787196
  • Title

    Global asymptotically robust stability of cellular neural networks with time-varying delay

  • Author

    Wu, Xue-li ; Zhou, Zhantong ; Du, Wen-xia ; Li, Yang

  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    3249
  • Lastpage
    3254
  • Abstract
    Time-delay is frequently encountered in neural networks, and it is often a source of instability and oscillations in a system. It is very important to research the stability of delayed neural network, especially for global asymptotically robust stability of the neural network with time-varying delay. In the letter, a novel method is proposed in this note for global asymptotically robust stability of cellular neural networks with time-varying delay. New delay-dependent global asymptotically robust stability conditions of cellular neural network with time-varying delay is presented by constructing Lyapunov function and using linear matrix inequality (LMI). Finally, numerical examples are given to demonstrate the effect of the proposed method.
  • Keywords
    Lyapunov methods; asymptotic stability; cellular neural nets; delays; linear matrix inequalities; robust control; time-varying systems; LMI; Lyapunov function; cellular neural network; global asymptotically robust stability; linear matrix inequality; time-varying delay; Asymptotic stability; Automation; Cellular neural networks; Delay effects; Large-scale systems; Linear matrix inequalities; Lyapunov method; Neural networks; Robust stability; Sufficient conditions; LMI; Lyapunov functional; delayed cellular neural networks (DCNNs); global asymptotically robust stability;
  • 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.2009.5192139
  • Filename
    5192139