@inproceedings{d4d3670a7f3b48098cc32eb0d6f9467d,
title = "ISS of Rapidly Time-Varying Systems Via a Novel Presentation and Delay-Free Transformation",
abstract = "We treat input-to-state stability (ISS) of linear continuous-time systems with multiple time-scales. These systems contain rapidly-varying, piecewise continuous and almost periodic coefficients with small parameters (time-scales). Our method relies on a novel delay-free system transformation in conjunction with a new system presentation, where the rapidly-varying coefficients are scalars that have zero average. We employ time-varying Lyapunov functions for ISS analysis. The analysis yields LMI conditions for ISS, leading to explicit bounds on the small parameters, decay rate and ISS gains. The novel system presentation plays a crucial role in the ISS analysis by allowing for essentially less conservative upper bounds on terms containing the small parameters. The derived LMIs are accompanied by suitable feasibility guarantees. Numerical examples demonstrate the efficacy of the proposed approach in comparison to existing methods.",
keywords = "ISS, Lyapunov methods, averaging, stability, time-varying systems",
author = "Rami Katz and Emilia Fridman and Fr{\'e}d{\'e}ric Mazenc",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 62nd IEEE Conference on Decision and Control, CDC 2023 ; Conference date: 13-12-2023 Through 15-12-2023",
year = "2023",
doi = "https://doi.org/10.1109/CDC49753.2023.10383953",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "8763--8768",
booktitle = "2023 62nd IEEE Conference on Decision and Control, CDC 2023",
address = "الولايات المتّحدة",
}