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. © 2009 IEEE.
CITATION STYLE
Sun, M. (2009). A Barbalat-like lemma with its application to learning control. IEEE Transactions on Automatic Control, 54(9), 2222–2225. https://doi.org/10.1109/TAC.2009.2026849
Mendeley helps you to discover research relevant for your work.