• DocumentCode
    825229
  • Title

    Global Asymptotic Stability and Robust Stability of a Class of Cohen–Grossberg Neural Networks With Mixed Delays

  • Author

    Zhang, Huaguang ; Wang, Zhanshan ; Liu, Derong

  • Author_Institution
    Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang
  • Volume
    56
  • Issue
    3
  • fYear
    2009
  • fDate
    3/1/2009 12:00:00 AM
  • Firstpage
    616
  • Lastpage
    629
  • Abstract
    This paper is concerned with the global asymptotic stability of a class of Cohen-Grossberg neural networks with both multiple time-varying delays and continuously distributed delays. Two classes of amplification functions are considered, and some sufficient stability criteria are established to ensure the global asymptotic stability of the concerned neural networks, which can be expressed in the form of linear matrix inequality and are easy to check. Furthermore, some sufficient conditions guaranteeing the global robust stability are also established in the case of parameter uncertainties.
  • Keywords
    amplification; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; Cohen-Grossberg neural networks; continuously distributed delays; global asymptotic stability; linear matrix inequality; mixed delays; multiple time-varying delays; robust stability; Cohen–Grossberg neural networks; distributed delays; global asymptotic stability; linear matrix inequality (LMI); multiple time-varying delays; nonnegative equilibrium points; robust stability;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Regular Papers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-8328
  • Type

    jour

  • DOI
    10.1109/TCSI.2008.2002556
  • Filename
    4588355