• DocumentCode
    2710888
  • Title

    Boundedness and stability for the solutions of impulsive neural networks with time-varying delay

  • Author

    Lou, Xuyang ; Wang, Ruliang ; Cui, Baotong

  • Author_Institution
    Coll. of Commun. & Control Eng., Jiangnan Univ., Wuxi, China
  • fYear
    2009
  • fDate
    14-19 June 2009
  • Firstpage
    1893
  • Lastpage
    1899
  • Abstract
    By employing Lyapunov functions and Razumikhin techniques, we analyze the uniform boundedness and uniform asymptotic stability for a large class of impulsive neural networks with time-varying delay. Some new criteria are obtained to ensure the uniform boundedness and uniform asymptotic stability of the impulsive neural networks. The results remove the usual assumption that the activation functions fj(ldr) are of bounded, monotonous or differential character. Moreover, the time-varying delay function is not required to be differential. Therefore, the results which are easy to check and apply in practice, extend and improve the earlier publications.
  • Keywords
    Lyapunov methods; asymptotic stability; neural nets; transfer functions; Lyapunov function; Razumikhin technique; activation function; impulsive neural network; time varying delay function; uniform asymptotic stability; uniform boundedness; Artificial neural networks; Asymptotic stability; Delay effects; Differential equations; Frequency; Lyapunov method; Neural networks; Stability analysis; Stability criteria; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Neural Networks, 2009. IJCNN 2009. International Joint Conference on
  • Conference_Location
    Atlanta, GA
  • ISSN
    1098-7576
  • Print_ISBN
    978-1-4244-3548-7
  • Electronic_ISBN
    1098-7576
  • Type

    conf

  • DOI
    10.1109/IJCNN.2009.5178858
  • Filename
    5178858