Yet another stability condition for switched nonlinear systems
Optimization and Control
2023-06-21 v2 Systems and Control
Systems and Control
Abstract
This paper deals with input/output-to-state stability (IOSS) of continuous-time switched nonlinear systems. Given a family of systems, possibly containing unstable dynamics, and a set of restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems, we identify a class of switching signals that obeys these restrictions and preserves stability of the resulting switched system. The primary apparatus for our analysis is multiple Lyapunov-like functions. Input-to-state stability (ISS) and global asymptotic stability (GAS) of switched systems under pre-specified restrictions on switching signals fall as special cases of our results when no outputs (resp., also inputs) are considered.
Cite
@article{arxiv.2207.07764,
title = {Yet another stability condition for switched nonlinear systems},
author = {Atreyee Kundu},
journal= {arXiv preprint arXiv:2207.07764},
year = {2023}
}
Comments
10 pages, 1 figure