Structural Controllability of Multi-Magnetic Levitation Network System

We established a novel multi-magnetic levitation network system by combining the linearized magnetic levitation system and the network topology. Each node represents an independent magnetic levitation unit, and the interaction relationship between the units is described by the network topology. We studied the minimum number of driver nodes required to control the multi-magnetic levitation network system based on the structural controllability theory. The simulation based on the model and real networks found that as the proportion of nodes replaced with independent magnetic levitation units increases, the number of driver nodes required for global control decreases nonlinearly. At the same time, dense and homogeneous multi-magnetic levitation network systems are easier to control. This can provide a theoretical reference for our study of the actual control problems of the multi-magnetic levitation network systems.