TY - GEN
T1 - Generic Controllability of Undirected Networks of Relative Coupling Identical Systems
AU - Zhang, Yuan
AU - Xia, Yuanqing
AU - Gao, Han
N1 - Publisher Copyright:
© 2020 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2020/7
Y1 - 2020/7
N2 - In this paper, controllability of undirected networked systems (NSs) with relative coupling identical subsystems is considered, where each subsystem is of fixed general single-input-multi-output dynamics. The underlying graph of the subsystem interaction topology is vector-weighted, rather than scalar-weighted. The aim is to find conditions under which the NS is generically controllable, i.e., for almost all vector values for interaction links of the network topology, the whole system is controllable, which is also called structural controllability. Necessary and sufficient conditions are given for the considered NS to be structurally controllable. A promising point of the obtained conditions is that, they depend only on controllability and observability of each subsystem, as well as the connectivity property of the network topology. These conditions are further extended to the case where both directed and undirected interaction links exist.
AB - In this paper, controllability of undirected networked systems (NSs) with relative coupling identical subsystems is considered, where each subsystem is of fixed general single-input-multi-output dynamics. The underlying graph of the subsystem interaction topology is vector-weighted, rather than scalar-weighted. The aim is to find conditions under which the NS is generically controllable, i.e., for almost all vector values for interaction links of the network topology, the whole system is controllable, which is also called structural controllability. Necessary and sufficient conditions are given for the considered NS to be structurally controllable. A promising point of the obtained conditions is that, they depend only on controllability and observability of each subsystem, as well as the connectivity property of the network topology. These conditions are further extended to the case where both directed and undirected interaction links exist.
KW - Undirected network
KW - network analysis and control
KW - structural controllability
KW - vector-weighted Laplacian
UR - http://www.scopus.com/inward/record.url?scp=85091401918&partnerID=8YFLogxK
U2 - 10.23919/CCC50068.2020.9188764
DO - 10.23919/CCC50068.2020.9188764
M3 - Conference contribution
AN - SCOPUS:85091401918
T3 - Chinese Control Conference, CCC
SP - 4469
EP - 4474
BT - Proceedings of the 39th Chinese Control Conference, CCC 2020
A2 - Fu, Jun
A2 - Sun, Jian
PB - IEEE Computer Society
T2 - 39th Chinese Control Conference, CCC 2020
Y2 - 27 July 2020 through 29 July 2020
ER -