Stabilizing switched nonlinear systems under restricted but arbitrary switching signals

Fuente: arXiv
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Autor principal: Kundu, Atreyee
Formato: Preprint
Publicado: 2024
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author Kundu, Atreyee
author_facet Kundu, Atreyee
contents This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems. We present sufficient conditions on the subsystems, admissible switches between them and admissible dwell times on them, such that a switched system generated under all switching signals obeying the given restrictions is IOSS. Multiple Lyapunov-like functions and graph theory are the key apparatuses for our analysis. A numerical example is presented to demonstrate our results.
format Preprint
id arxiv_https___arxiv_org_abs_2404_02596
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stabilizing switched nonlinear systems under restricted but arbitrary switching signals
Kundu, Atreyee
Systems and Control
This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems. We present sufficient conditions on the subsystems, admissible switches between them and admissible dwell times on them, such that a switched system generated under all switching signals obeying the given restrictions is IOSS. Multiple Lyapunov-like functions and graph theory are the key apparatuses for our analysis. A numerical example is presented to demonstrate our results.
title Stabilizing switched nonlinear systems under restricted but arbitrary switching signals
topic Systems and Control
url https://arxiv.org/abs/2404.02596