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...Show MoreMetadata
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.
Published in: IEEE Transactions on Automatic Control ( Volume: 54, Issue: 9, September 2009)