Stabilizing switching signals for switched linear systems
Systems and Control
2017-11-27 v2 Optimization and Control
Abstract
This article deals with stability of continuous-time switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which the switched linear system generated by it and the family of systems is globally asymptotically stable. Our characterization of such stabilizing switching signals involves the asymptotic frequency of switching, the asymptotic fraction of activation of the constituent systems, and the asymptotic densities of admissible transitions among them. Our techniques employ multiple Lyapunov-like functions, and extend preceding results both in scope and applicability.
Keywords
Cite
@article{arxiv.1303.1292,
title = {Stabilizing switching signals for switched linear systems},
author = {Atreyee Kundu and Debasish Chatterjee},
journal= {arXiv preprint arXiv:1303.1292},
year = {2017}
}
Comments
15 pages; corrected version with new references