• DocumentCode
    863862
  • Title

    Global stability analysis for delayed neural networks via an interval matrix approach

  • Author

    Li, C. ; Liao, X. ; Huang, T.

  • Author_Institution
    Sch. of Comput., Hangzhou Dianzi Univ.
  • Volume
    1
  • Issue
    3
  • fYear
    2007
  • fDate
    5/1/2007 12:00:00 AM
  • Firstpage
    743
  • Lastpage
    748
  • Abstract
    Global asymptotic stability for a general class of neural networks with delays is reduced to that for interval linear delayed differential equations under the assumption of Lipschitz continuity. By employing Lyapunov-Krasovskii theory, the problem is further reduced to that of Hurwitz stability of interval matrices. Based on the later theory, several new sets of stability criteria for neural networks with constant delays are derived. This demonstration and comparison with recent results show that the present results are new stability criteria for the investigated neural network model
  • Keywords
    asymptotic stability; delay-differential systems; delays; linear differential equations; neural nets; stability criteria; Hurwitz stability; Lipschitz continuity; Lyapunov-Krasovskii theory; constant delays; delayed neural networks; global asymptotic stability; global stability analysis; interval linear delayed differential equations; interval matrices; interval matrix approach; stability criteria;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • Filename
    4205011