On stability and state-norm estimation of switched systems under restricted switching
Abstract
This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a family of systems, possibly containing unstable dynamics, a set of admissible switches between the subsystems and admissible minimum and maximum dwell times on the subsystems, we identify a class of switching signals that obeys the given restrictions and preserves IOSS of the resulting switched system. Second, we design a class of state-norm estimators for switched systems under our class of stabilizing switching signals. These estimators are switched systems themselves with two subsystems -- one stable and one unstable. The key apparatus for our analysis is multiple Lyapunov-like functions. A numerical example is presented to demonstrate the results.
Keywords
Cite
@article{arxiv.2306.10564,
title = {On stability and state-norm estimation of switched systems under restricted switching},
author = {Atreyee Kundu},
journal= {arXiv preprint arXiv:2306.10564},
year = {2024}
}
Comments
17 pages, 4 figures. Longer version of a manuscript under review. arXiv admin note: text overlap with arXiv:2207.07764