• DocumentCode
    768740
  • Title

    A unifying proof of global asymptotical stability of neural networks with delay

  • Author

    Huang, Ying Sue ; Wu, Chai Wah

  • Author_Institution
    Dept. of Math., Pace Univ., Pleasantville, NY, USA
  • Volume
    52
  • Issue
    4
  • fYear
    2005
  • fDate
    4/1/2005 12:00:00 AM
  • Firstpage
    181
  • Lastpage
    184
  • Abstract
    We present some new global stability results of neural networks with delay and show that these results generalize recently published stability results. In particular, several different stability conditions in the literature which were proved using different Lyapunov functionals are generalized and unified by proving them using the same Lyapunov functional. We also show that under certain conditions, reversing the directions of the coupling between neurons preserves the global asymptotical stability of the neural network.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; neural nets; Lyapunov functionals; delay equations; global asymptotical stability; neural networks; Asymptotic stability; Circuits and systems; Delay; Equations; Mathematics; Neural networks; Neurons; Stability criteria; Symmetric matrices; Writing; Asymptotical stability; Lyapunov functional; delay equations; neural networks;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Express Briefs, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-7747
  • Type

    jour

  • DOI
    10.1109/TCSII.2004.842023
  • Filename
    1417084