This paper presents Barbalat-like lemmas for fractional order integrals, which can be used to conclude about the convergence of a function to zero, based on some conditions upon its fractional integral. Some examples in the context of asymptotic behaviour of solutions of fractional order differential equations, indicate the potential application of these lemmas in control theory.
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Patrocinador
dc.description.sponsorship
CONICYT-Chile, under "Centro de Tecnologia para la Mineria "
FB009
FONDECYT, "Improvements of Adaptive Systems Performance by using Fractional Order Observers and Particle Swarm Optimization"
1120453