• DocumentCode
    1798103
  • Title

    Global exponential stability of delayed Hopfield neural network on time scale

  • Author

    Xuehui Mei ; Haijun Jiang

  • Author_Institution
    Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi, China
  • fYear
    2014
  • fDate
    6-11 July 2014
  • Firstpage
    2991
  • Lastpage
    2996
  • Abstract
    In This paper, by using the theory of calculus on time scales and constructing some suitable Liapunov functions, we obtained the existence, uniqueness and global exponential stability of equilibrium point of delayed Hopfield neural network with impulses on time scale. The conditions can be easily checked in practice by simple algebraic methods.
  • Keywords
    Hopfield neural nets; Lyapunov methods; algebra; asymptotic stability; Liapunov function; algebraic method; delayed Hopfield neural network; equilibrium point; global exponential stability; theory of calculus; time scale; Biological neural networks; Calculus; Control theory; Equations; Mathematical model; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Neural Networks (IJCNN), 2014 International Joint Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4799-6627-1
  • Type

    conf

  • DOI
    10.1109/IJCNN.2014.6889781
  • Filename
    6889781