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Hauptverfasser:	Zhang, Yuan, Xia, Yuanqing, Li, Aming
Format:	Preprint
Veröffentlicht:	2023
Schlagworte:	Systems and Control
Online-Zugang:	https://arxiv.org/abs/2309.10753
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

_version_	1866909207992729600
author	Zhang, Yuan Xia, Yuanqing Li, Aming
author_facet	Zhang, Yuan Xia, Yuanqing Li, Aming
contents	This paper explores the structural controllability of switched linear continuous-time systems. It first identifies a gap in the proof for a pivotal criterion for the structural controllability of switched linear systems in the literature. To address this void, we develop novel graph-theoretic concepts, such as multi-layer dynamic graphs, generalized stems/buds, and generalized cacti, and based on them, provide a comprehensive proof for this criterion. Our approach also induces a new, generalized cactus based graph-theoretic criterion for structural controllability. This not only extends Lin's cactus-based graph-theoretic condition to switched systems for the first time, but also provides a lower bound for the generic dimension of controllable subspaces.
format	Preprint
id	arxiv_https___arxiv_org_abs_2309_10753
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Generalized Cactus and Structural Controllability of Switched Linear Continuous-Time Systems Zhang, Yuan Xia, Yuanqing Li, Aming Systems and Control This paper explores the structural controllability of switched linear continuous-time systems. It first identifies a gap in the proof for a pivotal criterion for the structural controllability of switched linear systems in the literature. To address this void, we develop novel graph-theoretic concepts, such as multi-layer dynamic graphs, generalized stems/buds, and generalized cacti, and based on them, provide a comprehensive proof for this criterion. Our approach also induces a new, generalized cactus based graph-theoretic criterion for structural controllability. This not only extends Lin's cactus-based graph-theoretic condition to switched systems for the first time, but also provides a lower bound for the generic dimension of controllable subspaces.
title	Generalized Cactus and Structural Controllability of Switched Linear Continuous-Time Systems
topic	Systems and Control
url	https://arxiv.org/abs/2309.10753

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