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Bull. Korean Math. Soc. 2017; 54(4): 1309-1321
Online first article April 10, 2017 Printed July 31, 2017
https://doi.org/10.4134/BKMS.b160555
Copyright © The Korean Mathematical Society.
Stability of fractional-order nonlinear systems depending on a parameter
Abdellatif Ben Makhlouf, Mohamed Ali Hammami, and Khaled Sioud
University of Sfax, University of Sfax, Taibah University
In this paper, we present a practical Mittag Leffler stability for fractional-order nonlinear systems depending on a parameter. A sufficient condition on practical Mittag Leffler stability is given by using a Lyapunov function. In addition, we study the problem of stability and stabilization for some classes of fractional-order systems.
Keywords: practical stability, Lyapunov functions, fractional differential equations, Caputo derivative
MSC numbers: Primary 37C75, 93Dxx, 49J15
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