Controllability of Switching Signed Networks
Yongqiang Guan, Lingling Tian, Long Wang · IEEE Transactions on Circuits & Systems II Express Briefs · 2019
This brief investigates the controllability of switching signed networks, in which the interconnection topologies are directed, weighted, and switched. First, we study the controllability from the union digraph perspective and derive a graph-theoretic sufficient condition. It is shown that a switching signed network can be controllable even if each of its subnetworks is uncontrollable. Second, we consider the controllability of simultaneously structurally balanced signed networks. It is found that the controllability of simultaneously structurally balanced networks is equivalent to the controllability of their corresponding unsigned networks. Finally, several numerical examples are given to illustrate the effectiveness of the theoretical results.