Event-Based Output Regulation of Boolean Control Networks With Time Delay

This brief focuses on the output regulation problem (ORP) of delayed Boolean control networks (DBCNs) under event-triggered control (ETC). Firstly, resorting to the semi-tensor product (STP) of matrices, the DBCNs model is converted into its algebraic form and the considered ORP is transformed into the set stabilization problem. Secondly, by using the matrix partitioning technique, an algorithm is proposed to find the triggering set and design the controller. Furthermore, a necessary and sufficient condition for solving the event-based ORP is provided. Lastly, a biological example is provided to illustrate the feasibility of the main results.