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
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
Journal title :
Communications in Nonlinear Science and Numerical Simulation
