Dimensionality Reduction Method for Output Regulation of probabilistic Boolean Control Networks

In this paper, we study the output regulation problem (ORP) of probabilistic Boolean control networks (PBCNs) via event-triggered control. Firstly, the algebraic forms of a PBCN and a reference BN are established via the semi-tentor product. By analyzing the set stabilization of the small auxiliary system and the PBCN, a necessary and sufficient condition to detect the solvability of the ORP is presented. Secondly, a method to design the state feedback event-triggered control for the ORP is proposed. Finally, an example is given to is given to verify the effectiveness of the new results.