Disturbance Decoupling Problem of Delayed Boolean Networks Based on the Network Structure

This brief mainly investigates the disturbance decoupling problem (DDP) of delayed Boolean networks (DBNs) based on the network structure via designing the output-based pinning controller. Firstly, by constructing the wiring digraph of the considered system, the edge deleting method to solve the DDP of DBNs is proposed. Besides, an algorithm is provided to solve the minimum pinning node set. The pinning controller is then designed to delete the edges which can make the output to be unaffected by the disturbance. Moreover, a necessary and sufficient condition which shows the solvability of the DDP of DBNs is provided. Finally, an example is offered to explain the validity of theoretical results.