• DocumentCode
    1209628
  • Title

    Exponential Stability Analysis for Neural Networks With Time-Varying Delay

  • Author

    Wu, Min ; Liu, Fang ; Shi, Peng ; He, Yong ; Yokoyama, Ryuichi

  • Author_Institution
    Sch. of Inf. Sci. & Eng., Central South Univ., Changsha
  • Volume
    38
  • Issue
    4
  • fYear
    2008
  • Firstpage
    1152
  • Lastpage
    1156
  • Abstract
    This correspondence paper focuses on the problem of exponential stability for neural networks with a time-varying delay. The relationship among the time-varying delay, its upper bound, and their difference is taken into account. As a result, an improved linear-matrix-inequality-based delay-dependent exponential stability criterion is obtained without ignoring any terms in the derivative of Lyapunov-Krasovskii functional. Two numerical examples are given to demonstrate its effectiveness.
  • Keywords
    Lyapunov methods; delays; linear matrix inequalities; neural nets; stability criteria; time-varying systems; Lyapunov-Krasovskii functional; delay-dependent exponential stability criterion; exponential stability analysis; linear matrix inequality; neural networks; time-varying delay; Exponential stability; linear matrix inequality (LMI); neural networks; time-varying delay; Algorithms; Computer Simulation; Models, Theoretical; Neural Networks (Computer);
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1083-4419
  • Type

    jour

  • DOI
    10.1109/TSMCB.2008.915652
  • Filename
    4510760