• DocumentCode
    553971
  • Title

    Asymptotic stability of stochastic reaction-diffusion delayed neural networks

  • Author

    Shuman Pan ; Lina Fu

  • Author_Institution
    Dept. of Math., Ningbo Univ., Ningbo, China
  • Volume
    1
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    87
  • Lastpage
    91
  • Abstract
    In this paper, we study a new class of stochastic neural networks with reaction-diffusion and time-varying delays. By employing a novel Lyapunov-Krasovskii functional, the Itô´s formula, the Green formula and stochastic analysis theory, we obtain a new set of sufficient conditions to ensure Stochastically asymptotic stability of stochastic of the suggested system. Moreover, a numerical example is given to show the effectiveness of the theoretical result.
  • Keywords
    Lyapunov methods; asymptotic stability; delay systems; neurocontrollers; reaction-diffusion systems; stochastic systems; Green formula; Ito formula; Lyapunov-Krasovskii functional; asymptotic stability; stochastic analysis theory; stochastic reaction-diffusion delayed neural network; time-varying delay; Asymptotic stability; Biological neural networks; Delay; Numerical stability; Stability analysis; Stochastic processes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation (ICNC), 2011 Seventh International Conference on
  • Conference_Location
    Shanghai
  • ISSN
    2157-9555
  • Print_ISBN
    978-1-4244-9950-2
  • Type

    conf

  • DOI
    10.1109/ICNC.2011.6022057
  • Filename
    6022057
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=553971