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Fractal Fract 2018, 2(2), 17; https://doi.org/10.3390/fractalfract2020017

Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input

Laboratoire Lmdan, Département de Mathématiques de la Décision, Université Cheikh Anta Diop de Dakar, BP 5683 Dakar Fann, Senegal
Received: 31 March 2018 / Revised: 25 April 2018 / Accepted: 27 April 2018 / Published: 2 May 2018
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Abstract

This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and conditional asymptotic stability of the fractional nonlinear systems with exogenous input. A particular class of the fractional nonlinear systems is studied. The paper contributes to giving in particular the Lyapunov characterization of fractional linear systems and fractional bilinear systems with exogenous input. View Full-Text
Keywords: Riemann-Liouville derivative; fractional nonlinear systems; conditional asymptotic stability Riemann-Liouville derivative; fractional nonlinear systems; conditional asymptotic stability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Sene, N. Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input. Fractal Fract 2018, 2, 17.

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