Characterization of driver nodes: Network of discrete-time agents

A network of discrete-time agents (nodes) which can be controlled by different nodes, acting independently, is considered. When a network can be controlled through several nodes, it is important to understand differences in choosing a particular node as driver node (node which control the entire network). This work considers limited actuator amplitude of driver node and characterizes driver node based on Region of Attraction (ROA) obtained corresponding to a particular chosen driver node. The presented theory and algorithms enable to find an appropriate node such that Region of Attraction maximizes. Theoretical developments are verified through numerical simulation.