Document Type
Article
Publication Date
1-1-2022
Abstract
Halanay's inequality in its standard form is a widely used tool for the analysis of systems with delays and uncertainties, but the assumptions needed to use it are sometimes too restrictive to cover applications of interest. This letter provides new generalizations of Halanay's inequality where, instead of the usual supremum in the gain term in standard versions of Halanay's inequality, we use a weighted sum of suprema over different intervals. This allows us to derive sufficient conditions for asymptotic and input-to-state stability. We apply our results to linear systems with switched delays and other examples that illustrate how our results are less restrictive than those of other contributions available in the literature.
Publication Source (Journal or Book title)
IEEE Control Systems Letters
First Page
1790
Last Page
1795
Recommended Citation
Mazenc, F., & Malisoff, M. (2022). New Versions of Halanay's Inequality with Multiple Gain Terms. IEEE Control Systems Letters, 6, 1790-1795. https://doi.org/10.1109/LCSYS.2021.3133214