• DocumentCode
    942728
  • Title

    Robust Global Exponential Stability for Interval Reaction–Diffusion Hopfield Neural Networks With Distributed Delays

  • Author

    Lu, Jun Guo

  • Author_Institution
    Shanghai Jiao Tong Univ., Shanghai
  • Volume
    54
  • Issue
    12
  • fYear
    2007
  • Firstpage
    1115
  • Lastpage
    1119
  • Abstract
    This brief presents a sufficient condition for the existence, uniqueness, and robust global exponential stability of the equilibrium solution for a class of interval reaction diffusion Hopfield neural networks with distributed delays and Dirichlet boundary conditions by constructing suitable Lyapunov functional and utilizing some inequality techniques. The result imposes constraint conditions on the boundary values of the network parameters. The result is also easy to verify and plays an important role in the design and application of globally exponentially stable neural circuits.
  • Keywords
    Hopfield neural nets; Lyapunov methods; asymptotic stability; delays; reaction-diffusion systems; Dirichlet boundary conditions; Lyapunov function; distributed delays; interval reaction-diffusion Hopfield neural networks; robust global exponential stability; Dirichlet boundary condition; Hopfield neural network; distributed delay; reaction diffusion; robust global exponential stability;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Express Briefs, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-7747
  • Type

    jour

  • DOI
    10.1109/TCSII.2007.905357
  • Filename
    4358632