A randomized algorithm for the stabilization of switched nonlinear systems under restricted switching
Abstract
This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems in the discrete-time setting. We present an algorithm to construct periodic switching signals that obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems, and identify sufficient conditions on the individual subsystems, the admissible switches and admissible dwell times under which a switching signal obtained from our algorithm preserves stability of a switched system with overwhelming probability. We recover our earlier result on probabilistic techniques for the design of switching signals that preserve global asymptotic stability of switched linear systems under sufficient conditions on the properties of the individual subsystems and the admissible dwell times on the subsystems.
Cite
@article{arxiv.2105.15156,
title = {A randomized algorithm for the stabilization of switched nonlinear systems under restricted switching},
author = {Atreyee Kundu},
journal= {arXiv preprint arXiv:2105.15156},
year = {2021}
}
Comments
This paper extends a set of results from "A randomized algorithm for stabilizing switching signals" by N. Balachandran, A. Kundu and D. Chatterjee, Mathematical Control and Related Fields, 2019, to input/output-to-state stability of switched nonlinear systems under restricted switching. It is accepted for presentation at and publication in the proceedings of the European Control Conference, 2021