Title :
A Barbalat-Like Lemma with Its Application to Learning Control
Author_Institution :
Coll. of Inf. Eng., Zhejiang Univ. of Technol., Hangzhou, China
Abstract :
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.
Keywords :
adaptive control; control system analysis; learning systems; stability; Barbalat-like Lemma; equicontinuous; functions sequence; learning control systems analysis; Computer errors; Control design; Control system analysis; Control systems; Convergence; Error correction; H infinity control; Integral equations; Stability analysis; Sun; Time varying systems; Barbalat lemma; finite time convergence; learning control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2026849
