• DocumentCode
    2793383
  • Title

    LMI-based exponential estimates for time-delay systems

  • Author

    Shen, Yanjun

  • Author_Institution
    Coll. of Sci., China Three Gorges Univ., Yichang, China
  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    1410
  • Lastpage
    1415
  • Abstract
    In this paper, the problem of exponential stability for time-delay systems is considered. By constructing a new Lyapunov-Krasovskii functional, LMI-based sufficient conditions for exponential stability are presented. Besides, a new sufficient condition for robust exponential stability is also derived for uncertain time-delay systems with time-varying norm-bounded parameter uncertainties. Two numerical examples are shown the reduced conservatism of the proposed conditions.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; time-varying systems; uncertain systems; LMI-based exponential estimation; Lyapunov-Krasovskii functional; exponential stability; time-varying norm-bounded parameter uncertainties; uncertain time-delay systems; Delay effects; Delay estimation; Delay lines; Delay systems; Educational institutions; Robust stability; Sufficient conditions; Systems biology; Time varying systems; Uncertain systems; LMI; exponential stability; time-delay systems; uncertain systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference, 2009. CCDC '09. Chinese
  • Conference_Location
    Guilin
  • Print_ISBN
    978-1-4244-2722-2
  • Electronic_ISBN
    978-1-4244-2723-9
  • Type

    conf

  • DOI
    10.1109/CCDC.2009.5192473
  • Filename
    5192473