Lyapunov functions for fractional order systems
Lyapunov-functions-for-fractional-order-systems.pdf (390.3Kb)Abstract
A new lemma for the Caputo fractional derivatives, when 0 < a < 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.
General note
Artículo de publicación ISI
Patrocinador
This work has been supported by CONICYT – Chile, under the grants FB009 ‘‘Centro de Tecnología para la Minería’’ and
FONDECYT 1120453, ‘‘Improvements of Adaptive Systems Performance by using Fractional Order Observers and Particle
Swarm Optimization’’.
Identifier
URI: https://repositorio.uchile.cl/handle/2250/127037
DOI: DOI: 10.1016/j.cnsns.2014.01.022
Quote Item
Commun Nonlinear Sci Numer Simulat 19 (2014) 2951–2957
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