@inproceedings{5f02860f7caa4231bc1a3e5502001be6,
title = "Further Results on Stability of Linear Systems with Slow and Fast Time Variation and Switching",
abstract = "This paper studies exponential stability of linear systems with slow and fast time variation and switching. We use averaging to eliminate the fast dynamics and only retain the slow dynamics. We then use a recent stability criterion for slowly time-varying and switched systems, combined with perturbation analysis, to prove stability of the original system. The analysis involves working with an impulsive system in new coordinates, which enables us to treat a more general class of systems compared to previous work.",
keywords = "Averaging, Lyapunov stability, Switched systems",
author = "Hyungbo Shim and Daniel Liberzon",
note = "Publisher Copyright: {\textcopyright} 2024 Copyright held by the owner/author(s). Publication rights licensed to ACM.; 27th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2024 ; Conference date: 13-05-2024 Through 16-05-2024",
year = "2024",
month = may,
day = "14",
doi = "10.1145/3641513.3650130",
language = "English (US)",
series = "HSCC 2024 - Proceedings of the 27th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2024, part of CPS-IoT Week",
publisher = "Association for Computing Machinery",
booktitle = "HSCC 2024 - Proceedings of the 27th ACM International Conference on Hybrid Systems",
address = "United States",
}