Influence of Edge Weight on Controllability of Real Network Systems

Edge weight has practical significance in real network systems. It is of theoretical value and practical significance to study the influence of edge weight on the controllability of real network systems. This paper studies the controllability of real network systems under two extreme edge weights. We propose the concept of mirror structure to explain the influence of edge weight on controllability. Based on the simulation of 24 real network systems, we find that the multiple mirror structures can magnify the influence of edge weight on the controllability of real network systems. This can help to explore the influence of edge weight on the controllability of real network systems from the perspective of network topology.