A characterization of switched linear control systems with finite L 2 -gain
Optimization and Control
2016-04-08 v3
Abstract
Motivated by an open problem posed by J.P. Hespanha, we extend the notion of Barabanov norm and extremal trajectory to classes of switching signals that are not closed under concatenation. We use these tools to prove that the finiteness of the L2-gain is equivalent, for a large set of switched linear control systems, to the condition that the generalized spectral radius associated with any minimal realization of the original switched system is smaller than one.
Keywords
Cite
@article{arxiv.1509.03818,
title = {A characterization of switched linear control systems with finite L 2 -gain},
author = {Yacine Chitour and Paolo Mason and Mario Sigalotti},
journal= {arXiv preprint arXiv:1509.03818},
year = {2016}
}