Abstract
This paper explores 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 multi-layer 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.
| Original language | English |
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| Journal | IEEE Transactions on Automatic Control |
| DOIs | |
| Publication status | Accepted/In press - 2024 |
Keywords
- Dynamic graphs
- generalized cactus
- generalized stems and buds
- structural controllability
- switched systems