arXiv Open Access 2025

Obtaining Structural Network Controllability with Higher-Order Local Dynamics

Marco Peruzzo Giacomo Baggio Francesco Ticozzi
Lihat Sumber

Abstrak

We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to be generic or specifically designed, may affect its controllability. After establishing a correspondence between state controllability in networks of first-order systems with output controllability in networks of higher-order systems, we show that adding higher-order dynamics may require significantly fewer subsystem modifications to achieve structural controllability, when compared to first-order heterogeneous subsystems. Furthermore, we characterize the topology of networks (which we call X-networks) in which the introduction of heterogeneous local dynamics is not necessary for structural output controllability, as the latter can be attained by suitable higher-order subsystems with homogeneous internal dynamics.

Topik & Kata Kunci

Penulis (3)

M

Marco Peruzzo

G

Giacomo Baggio

F

Francesco Ticozzi

Format Sitasi

Peruzzo, M., Baggio, G., Ticozzi, F. (2025). Obtaining Structural Network Controllability with Higher-Order Local Dynamics. https://arxiv.org/abs/2504.17417

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓