Article ISI SCOPUS
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION  (2014)

Lyapunov functions for fractional order systems

Aguila-Camacho, N; Duarte-Mermoud, MA; Gallegos JA

Abstract

A new lemma for the Caputo fractional derivatives, when 0 < alpha < 1, is proposed in this paper. This result has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying. (C) 2014 Elsevier B. V. All rights reserved.

Más información

Título según WOS: Lyapunov functions for fractional order systems
Título según SCOPUS: Lyapunov functions for fractional order systems
Título de la Revista: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volumen: 19
Número: 9
Editorial: Elsevier
Fecha de publicación: 2014
Página de inicio: 2951
Página final: 2957
Idioma: English
DOI:

10.1016/j.cnsns.2014.01.022
Notas: ISI, SCOPUS