@inproceedings{0409b99fbebb4cce87472d12b8a17263,
title = "A lifting approach to L2-gain analysis of periodic event-triggered and switching sampled-data control systems",
abstract = "In this work we are interested in the stability and L2-gain of hybrid systems with linear flow dynamics, periodic time-triggered jumps and nonlinear possibly set-valued jump maps. This class of hybrid systems includes various interesting applications such as periodic event-triggered control. In this paper we also show that sampled-data systems with arbitrarily switching controllers can be captured in this framework by requiring the jump map to be set-valued. We provide novel conditions for the internal stability and L2-gain analysis of these systems adopting a lifting-based approach. In particular, we establish that the internal stability and contractivity in terms of an L2-gain smaller than 1 are equivalent to the internal stability and contractivity of a particular discrete-time set-valued nonlinear system. Despite earlier works in this direction, these novel characterisations are the first necessary and sufficient conditions for the stability and the contractivity of this class of hybrid systems. The results are illustrated through multiple new examples.",
author = "Heemels, {W. P.M.H.} and Dullerud, {G. E.} and Teel, {A. R.}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7402870",
language = "English (US)",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4176--4182",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "United States",
}