Selection of driver nodes based on region of attraction for single-input complex networks

This paper presents a theory and algorithms to select an appropriate driver node based on region of attraction (ROA) of single-input complex networks considering limited capacity of driver node. A single-input complex network is called controllable network if it can be driven from any initial state to desired state within finite time in n dimensional state space using a driver node. A driver node through which a network can be controlled is not unique. Non-uniqueness of driver node poses a challenge to select a right driver node when multiple possibilities exist. It is important to characterize these driver nodes and select the right driver node. In this paper, we consider a single-input unstable network with saturated actuator.