Stability of Fractional Nonlinear Systems with Mittag-Leffler Kernel and Design of State Observers
Abstract
Atangana and Baleanu proposed a new fractional derivative with non-local and no-singular Mittag-Leffler kernel to solve some problems proposed by researchers in the field of fractional calculus. This new derivative is better to describe essential aspects of non-local dynamical systems. We present some results regarding Lyapunov stability theory, particularly the Lyapunov Direct Method for fractional-order systems modeled with Atangana-Baleanu derivatives and some significant inequalities that help to develop the theoretical analysis. As applications in control theory, some algorithms of state estimation are proposed for linear and nonlinear fractional-order systems.
Keywords
Cite
@article{arxiv.2009.06870,
title = {Stability of Fractional Nonlinear Systems with Mittag-Leffler Kernel and Design of State Observers},
author = {Oscar Martínez-Fuentes and Sergio M. Delfín-Prieto},
journal= {arXiv preprint arXiv:2009.06870},
year = {2020}
}
Comments
Accepted in the book published by Taylor & Francis Group entitled "Applications of Fractional Calculus to Modeling in Dynamics and Chaos" edited by Francisco G\'omez-Aguilar and Abdon Atangana, 2020