@inproceedings{a72e00e0c96c4c4ea7225e855056eedd,
title = "Explicit sufficient stability conditions on dwell time of linear switched systems",
abstract = "Explicit conditions on the minimum dwell time that guarantees the asymptotic stability of switched linear systems are given. To this aim, methods that have been proposed for non-defective stable subsystem matrices are generalized to arbitrary stable subsystems matrices. Admissible switchings between subsystems are assumed to be in a general form, namely switchings respect a given directed graph. It is shown that logarithmic norm of matrix exponentials and Lambert-W functions can be used to bound the solutions of switched linear systems in case of defective subsystem matrices. Using a generalized version of Jordan form, dwell time bound can be found for any set of stable subsystem matrices.",
author = "Ozkan Karabacak and Ferruh Ilhan and Isil Oner",
year = "2015",
month = feb,
day = "12",
doi = "10.1109/CDC.2014.7040371",
language = "English",
isbn = "78-1-4799-7746-8",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "IEEE",
pages = "6266--6270",
booktitle = "53rd IEEE Conference on Decision and Control",
address = "United States",
note = "2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",
}