Generalized Cactus and Structural Controllability of Switched Linear Continuous-Time Systems

被引：0
作者：
Zhang, Yuan [1 ]
Xia, Yuanqing [1 ]
Li, Aming [2 ,3 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China
[3] Peking Univ, Inst Artificial Intelligence, Ctr Multiagent Res, Beijing 100871, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2025年 / 70卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Switches; Controllability; Switched systems; Linear systems; Aerospace electronics; Color; Voltage control; Voltage; Uncertain systems; Transforms; Dynamic graphs; generalized cactus; generalized stems and buds; structural controllability; switched systems; STABILIZABILITY; REACHABILITY;
D O I：
10.1109/TAC.2024.3482100
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, we explore the structural controllability of switched linear continuous-time systems. We first identify a gap in the proof of a fundamental criterion for the structural controllability of these systems. To solve this problem, we develop several novel graph-theoretic concepts, such as multilayer dynamic graphs, generalized stems/buds, and generalized cacti. Using these concepts, we provide a comprehensive proof for the criterion. Our approach also induces a new, generalized cactus-based graph-theoretic criterion for the 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 of switched systems.
引用
收藏
页码：1996 / 2003
页数：8
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