• Title of article

    Mittag–Leffler stability of fractional order nonlinear dynamic systems

  • Author/Authors

    Li، نويسنده , , Yan and Chen، نويسنده , , YangQuan and Podlubny، نويسنده , , Igor، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    5
  • From page
    1965
  • To page
    1969
  • Abstract
    In this paper, we propose the definition of Mittag–Leffler stability and introduce the fractional Lyapunov direct method. Fractional comparison principle is introduced and the application of Riemann–Liouville fractional order systems is extended by using Caputo fractional order systems. Two illustrative examples are provided to illustrate the proposed stability notion.
  • Keywords
    Fractional order dynamic system , Fractional comparison principle , Fractional Lyapunov direct method , Mittag–Leffler stability , Nonautonomous system
  • Journal title
    Automatica
  • Serial Year
    2009
  • Journal title
    Automatica
  • Record number

    1447758