• DocumentCode
    2793033
  • Title

    A global robust stability criterion for jumping stochastic Cohen- Grossberg neural networks with mode-dependent mixed delays

  • Author

    Chu, Hongjun ; Gao, Lixin

  • Author_Institution
    Inst. of Oper. Res. & Control Sci., Wenzhou Univ., Wenzhou, China
  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    4084
  • Lastpage
    4088
  • Abstract
    The global robust stability problem is considered for a class of uncertain stochastic Cohen-Grossberg neural networks with Markovian jumping parameters and time-delay in this paper. The time delays are mode-dependent mixed delays including discrete delays and distributed delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov chain, which are governed by a Markov process with discrete and finite state space. Based on the Lyapunov method and stochastic analysis approaches, a stability criterion is established, which can be expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.
  • Keywords
    Lyapunov methods; Markov processes; continuous time systems; delays; linear matrix inequalities; neural nets; stability; LMI; Lyapunov method; Markovian jumping parameter; continuous-time discrete-state homogenous Markov chain; discrete delay; distributed delay; finite state space; global robust stability criterion; linear matrix inequality; mode-dependent mixed delay; stochastic analysis approach; time-delay; uncertain stochastic Cohen-Grossberg neural network; Delay effects; Linear matrix inequalities; Lyapunov method; Markov processes; Neural networks; Robust stability; Stability analysis; Stability criteria; State-space methods; Stochastic processes; Cohen-Grossberg Neural Network; Linear Matrix Inequality; Markovian Jump; Robust Stability; Time-Delay;
  • 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.2009.5192457
  • Filename
    5192457