Controllability analysis of networks through their topologies
Shima Sadat Mousavi, ءMohammad Haeri · 2016
Controllability analysis of a network through its topology has recently been a popular issue in the systems and control community. In this regard, the zero extension rule is introduced in this paper, which provides a sufficient number of control nodes to ensure the controllability of certain families of undirected networks through the notion of their balancing sets. Moreover, some lower bounds on the dimension of the controllable subspace are provided. Finally, based on the generalized zero extension rule, some controllability conditions for such special structure of networks as the path, cycle, and three-branch tree are derived.