Hyungbo Shim / Daniel Liberzon Stability of linear systems with slow and fast time variation and switching: General case Journal Article In: Nonlinear Analysis: Hybrid Systems, vol. 58, pp. 101626, 2025, ISSN: 1751-570X. @article{nokey,
title = {Stability of linear systems with slow and fast time variation and switching: General case},
author = {Hyungbo Shim and Daniel Liberzon},
doi = {10.1016/j.nahs.2025.101626},
issn = {1751-570X},
year = {2025},
date = {2025-11-01},
urldate = {2025-11-01},
journal = {Nonlinear Analysis: Hybrid Systems},
volume = {58},
pages = {101626},
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 Theory, Nonlinear system, Switched systems},
pubstate = {published},
tppubtype = {article}
}
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. |