TY - JOUR

T1 - Structural Controllability of Undirected Diffusive Networks with Vector-Weighted Edges

AU - Zhang, Yuan

AU - Xia, Yuanqing

AU - Gao, Han

AU - Zhang, Guangchen

N1 - Publisher Copyright:
© 2017 IEEE.

PY - 2020/7

Y1 - 2020/7

N2 - In this letter, controllability of undirected networked systems with diffusively coupled subsystems is considered, where each subsystem is of identically fixed general high-order single-input-multi-output dynamics. The underlying graph of the network topology is vector-weighted, rather than scalar-weighted. The aim is to find conditions under which the networked system is structurally controllable, i.e., for almost all vector values for interaction links of the network topology, the corresponding system is controllable. It is proven that, the networked system is structurally controllable, if and only if each subsystem is controllable and observable, and the network topology is globally input-reachable. These conditions are further extended to the cases with multi-input-multi-output subsystem dynamics and matrix-weighted edges, or where both directed and undirected interaction links exist.

AB - In this letter, controllability of undirected networked systems with diffusively coupled subsystems is considered, where each subsystem is of identically fixed general high-order single-input-multi-output dynamics. The underlying graph of the network topology is vector-weighted, rather than scalar-weighted. The aim is to find conditions under which the networked system is structurally controllable, i.e., for almost all vector values for interaction links of the network topology, the corresponding system is controllable. It is proven that, the networked system is structurally controllable, if and only if each subsystem is controllable and observable, and the network topology is globally input-reachable. These conditions are further extended to the cases with multi-input-multi-output subsystem dynamics and matrix-weighted edges, or where both directed and undirected interaction links exist.

KW - Network analysis and control

KW - Structural controllability

KW - Undirected diffusive network

KW - Vector-weighted Laplacian

UR - http://www.scopus.com/inward/record.url?scp=85084286205&partnerID=8YFLogxK

U2 - 10.1109/LCSYS.2020.2986250

DO - 10.1109/LCSYS.2020.2986250

M3 - Article

AN - SCOPUS:85084286205

SN - 2475-1456

VL - 4

SP - 596

EP - 601

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

IS - 3

M1 - 9060869

ER -