Commun Nonlinear Sci Numer Simulat 19 (2014) 2951–2957
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Identifier
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DOI: 10.1016/j.cnsns.2014.01.022
Identifier
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https://repositorio.uchile.cl/handle/2250/127037
General note
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Artículo de publicación ISI
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Abstract
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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.
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Patrocinador
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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’’.