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A Barbalat-Like Lemma with Its Application to Learning Control

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1 Author(s)
Mingxuan Sun ; Coll. of Inf. Eng., Zhejiang Univ. of Technol., Hangzhou, China

This paper presents the convergence property for a sequence of functions over a finite interval of time, which square integral has a zero limit. It is proven that if such a sequence of functions is equicontinuous, the sequence itself will converge uniformly to zero over the entire interval. For illustration purposes, this result is applied and its usefulness shown in learning control systems analysis.

Published in:

Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 9 )

Date of Publication:

Sept. 2009

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