On fractional extensions of Barbalat Lemma

نویسندگان

  • Javier A. Gallegos
  • Manuel A. Duarte-Mermoud
  • Norelys Aguila-Camacho
  • Rafael Castro-Linares
چکیده

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. © 2015 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Systems & Control Letters

دوره 84  شماره 

صفحات  -

تاریخ انتشار 2015