Convex dwell-time characterizations for uncertain linear impulsive systems
Abstract
New sufficient conditions for the characterization of dwell-times for linear impulsive systems are proposed and shown to coincide with continuous decrease conditions of a certain class of looped-functionals, a recently introduced type of functionals suitable for the analysis of hybrid systems. This approach allows to consider Lyapunov functions that evolve non-monotonically along the flow of the system in a new way, broadening then the admissible class of systems which may be analyzed. As a byproduct, the particular structure of the obtained conditions makes the method is easily extendable to uncertain systems by exploiting some convexity properties. Several examples illustrate the approach.
Cite
@article{arxiv.1205.0213,
title = {Convex dwell-time characterizations for uncertain linear impulsive systems},
author = {Corentin Briat and Alexandre Seuret},
journal= {arXiv preprint arXiv:1205.0213},
year = {2012}
}
Comments
Accepted at IEEE Transactions on Automatic Control