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Stability of fractional-order nonlinear systems depending on a parameter

Abdellatif Ben Makhlouf|Mohamed Ali Hammami|Khaled Sioud
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회보 (Bulletin of the KMS)|제54권 제4호|pp. 1309-1321

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참고문헌

키워드

Caputo derivativefractional differential equationspractical stabilityLyapunov functions
주제분류수학

초록

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.

Abstract

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.

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