Stability of Fractional Nonlinear Systems with Mittag-Leffler Kernel and Design of State Observers
Oscar Martínez-Fuentes,
Sergio M. Delfín-Prieto
Abstract:Atangana and Baleanu proposed a new fractional derivative with non-local and nosingular MittagLeffler 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… Show more
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