@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 = "Hyungbo Shim\u2019s work was supported by the National Research Foundation of Korea grant funded by the Korea government (MSIT) under Grant no. RS-2022-00165417. Daniel Liberzon\u2019s work was supported by the National Science Foundation grant CMMI-2106043 and by the Air Force Office of Scientific Research MURI grant FA9550-23-1-0337.; 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",
}