A gathering of Barbalat's lemmas and their (unsung) cousins
Zhiyong Sun
TL;DR
This paper reviews various conditions for signal convergence based on Barbalat-like lemmas and their variations, providing a comprehensive summary of their theoretical foundations and applications.
Contribution
It consolidates and reviews multiple Barbalat-like lemmas and their variants, highlighting their roles in signal convergence analysis.
Findings
Summarizes key conditions for signal convergence.
Highlights differences among Barbalat-like lemmas.
Provides insights into their theoretical significance.
Abstract
This note presents a summary and review of various conditions for signal convergences, based on Barbalat-like lemmas and their variations.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Analysis and Transform Methods · Digital Filter Design and Implementation