Controlling Multi-Magnetic Levitation Network System

By integrating the linearized magnetic levitation system with network topology, we develop a novel multi-magnetic levitation network system. In this system, there is an independent magnetic levitation unit inside each node, and the interaction between these units is governed by the underlying network topology. To determine the minimum number of driver nodes required for system control, we apply the exact controllability theory. Extensive simulations of both the model and real networks reveal that as the proportion of original nodes replaced by independent magnetic levitation units increases, the required number of driver nodes for global control decreases. It is observed that denser and more homogeneous network systems are more easily controlled. Furthermore, we find that in dense network systems, the edge weight influences controllability; however, this effect diminishes as a greater number of original nodes are replaced by independent magnetic levitation units.