Journal
AUTOMATICA
Volume 93, Issue -, Pages 545-549Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2018.03.079
Keywords
Adaptive control; Convergence; Barbalat's lemma
Funding
- Norwegian Academy of Science and Letters
- Statoil
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We present a new formulation of a convergence result for Lyapunov function candidates satisfying a differential inequality with integrable coefficients that often appears in adaptive control problems. Usually, Barbalat's Lemma is invoked, requiring boundedness of the time derivative of the Lyapunov function candidate which can sometimes be hard to establish. By connecting results from the literature, an alternative route avoiding Barbalat's Lemma is suggested. (C) 2018 Elsevier Ltd. All rights reserved.
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