Lyapunov stability tests for linear time-delay systems
Dynamical Systems
2022-07-27 v1 Systems and Control
Systems and Control
Abstract
An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays. The state of the art, ongoing research and potential extensions to other classes of delay systems are discussed.
Cite
@article{arxiv.2207.12462,
title = {Lyapunov stability tests for linear time-delay systems},
author = {Sabine Mondié and Alexey Egorov and Marco A. Gomez},
journal= {arXiv preprint arXiv:2207.12462},
year = {2022}
}
Comments
19 pages, 4 figures, 1 table, journal paper submitted to Annual Reviews in Control