Title of article
Lyapunov functions for fractional order systems
Author/Authors
Aguila-Camacho، نويسنده , , Norelys and Duarte-Mermoud، نويسنده , , Manuel A. and Gallegos، نويسنده , , Javier A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
7
From page
2951
To page
2957
Abstract
A new lemma for the Caputo fractional derivatives, when 0 < α < 1 , is proposed in this paper. This result has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying.
Keywords
Fractional-order Lyapunov direct method , fractional calculus , Stability of fractional order systems
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2014
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1538708
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