• DocumentCode
    1075894
  • Title

    Stability Analysis of Positive Systems With Bounded Time-Varying Delays

  • Author

    Liu, Xingwen ; Yu, Wensheng ; Wang, Long

  • Author_Institution
    Inst. of Electr. & Inf. Eng., Southwest Univ. for Nat., Chengdu, China
  • Volume
    56
  • Issue
    7
  • fYear
    2009
  • fDate
    7/1/2009 12:00:00 AM
  • Firstpage
    600
  • Lastpage
    604
  • Abstract
    This brief addresses stability of the discrete-time positive systems with bounded time-varying delays and establishes some necessary and sufficient conditions for asymptotic stability of such systems. It turns out that, for any bounded time-varying delays, the magnitude of the delays does not affect the stability of these systems. In other words, system stability is completely determined by the system matrices.
  • Keywords
    asymptotic stability; delays; discrete time systems; matrix algebra; time-varying systems; asymptotic stability; bounded time-varying delays; discrete-time positive systems; positive systems; stability analysis; system matrices; Linear copositive Lyapunov function (functional); positive linear system; stability; time-varying delays;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Express Briefs, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-7747
  • Type

    jour

  • DOI
    10.1109/TCSII.2009.2023305
  • Filename
    5075640