Next Article in Journal
Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
Previous Article in Journal
The Craft of Fractional Modeling in Science and Engineering 2017
Open AccessArticle

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
Fractal Fract 2018, 2(2), 17; https://doi.org/10.3390/fractalfract2020017
Received: 31 March 2018 / Revised: 25 April 2018 / Accepted: 27 April 2018 / Published: 2 May 2018
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
MDPI and ACS Style

Sene, N. Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input. Fractal Fract 2018, 2, 17.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop