@inproceedings{112e14934e32424e9771f757fcb49a97,
title = "Approximating periodic trajectories of contractive systems",
abstract = "We consider contractive systems whose trajectories evolve on a compact and convex state-space. It is well-known that if the time-varying vector field of the system is periodic then the system admits a unique globally asymptotically stable periodic solution. Obtaining explicit information on this periodic solution and its dependence on various parameters is important both theoretically and in numerous applications. We develop an approach for approximating such a periodic trajectory using the periodic trajectory of a simpler system (e.g. an LTI system). Our approximation includes an error bound that is based on the input-to-state stability property of contractive systems. We show that in some cases this error bound can be computed explicitly. We demonstrate our results using several examples from systems biology.",
author = "Michael Margaliot and Samuel Coogan",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 56th IEEE Annual Conference on Decision and Control, CDC 2017 ; Conference date: 12-12-2017 Through 15-12-2017",
year = "2017",
month = jun,
day = "28",
doi = "https://doi.org/10.1109/CDC.2017.8263724",
language = "الإنجليزيّة",
series = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "583--588",
booktitle = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",
address = "الولايات المتّحدة",
}