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
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