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STABILITY OF FRACTIONAL-ORDER NONLINEAR SYSTEMS DEPENDING ON A PARAMETER
Ben Makhlouf, Abdellatif,Hammami, Mohamed Ali,Sioud, Khaled Korean Mathematical Society 2017 대한수학회보 Vol.54 No.4
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.
Abdellatif Ben Makhlouf,Mohamed Ali Hammami 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.6
In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result.
Stability of fractional-order nonlinear systems depending on a parameter
Abdellatif Ben Makhlouf,Mohamed Ali Hammami,Khaled Sioud 대한수학회 2017 대한수학회보 Vol.54 No.4
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.