Stabilizing discrete-time switched linear systems
Systems and Control
2014-05-09 v1
Abstract
This article deals with stabilizing discrete-time switched linear systems. Our contributions are threefold: Firstly, given a family of linear systems possibly containing unstable dynamics, we propose a large class of switching signals that stabilize a switched system generated by the switching signal and the given family of systems. Secondly, given a switched system, a sufficient condition for the existence of the proposed switching signal is derived by expressing the switching signal as an infinite walk on a directed graph representing the switched system. Thirdly, given a family of linear systems, we propose an algorithmic technique to design a switching signal for stabilizing the corresponding switched system.
Cite
@article{arxiv.1310.3595,
title = {Stabilizing discrete-time switched linear systems},
author = {Atreyee Kundu and Debasish Chatterjee},
journal= {arXiv preprint arXiv:1310.3595},
year = {2014}
}
Comments
10 pages