Affine characterizations of minimum and mode-dependent dwell-times for uncertain linear switched systems
Optimization and Control
2012-09-05 v2 Systems and Control
Classical Analysis and ODEs
Dynamical Systems
Abstract
An alternative approach for minimum and mode-dependent dwell-time characterization for switched systems is derived. The proposed technique is related to Lyapunov looped-functionals, a new type of functionals leading to stability conditions affine in the system matrices, unlike standard results for minimum dwell-time. These conditions are expressed as infinite-dimensional LMIs which can be solved using recent polynomial optimization techniques such as sum-of-squares. The specific structure of the conditions is finally utilized in order to derive dwell-time stability results for uncertain switched systems. Several examples illustrate the efficiency of the approach.
Keywords
Cite
@article{arxiv.1209.0444,
title = {Affine characterizations of minimum and mode-dependent dwell-times for uncertain linear switched systems},
author = {Corentin Briat and Alexandre Seuret},
journal= {arXiv preprint arXiv:1209.0444},
year = {2012}
}
Comments
7 pages, 1 figure, To appear in IEEE Transactions on Automatic Control