Dwell-time control sets and applications to the stability analysis of linear switched systems
Optimization and Control
2019-02-12 v1
Abstract
We propose an extension of the theory of control sets to the case of inputs satisfying a dwell-time constraint. Although the class of such inputs is not closed under concatenation, we propose a suitably modified definition of control sets that allows to recover some important properties known in the concatenable case. In particular we apply the control set construction to dwell-time linear switched systems, characterizing their maximal Lyapunov exponent looking only at trajectories whose angular component is periodic. We also use such a construction to characterize supports of invariant measures for random switched systems with dwell-time constraints.
Keywords
Cite
@article{arxiv.1902.03757,
title = {Dwell-time control sets and applications to the stability analysis of linear switched systems},
author = {Francesco Boarotto and Mario Sigalotti},
journal= {arXiv preprint arXiv:1902.03757},
year = {2019}
}