Finite-time Set Stabilization of Impulsive Probabilistic Boolean Control Networks via Time-variant Feedback Control

This paper investigates the finite-time set stabilization of impulsive probabilistic Boolean control networks (IPBCNs) by designing time-variant state feedback control. Based on the semi-tensor product method, the algebraic form is established for the given IPBCNs. Then, a constructive method is proposed to design time-variant state feedback controller for the set stabilization of IPBCNs. In order to reduce the control execution time, a specific method is put forward to construct the event-triggered state feedback control (ETSFC). Furthermore, the obtained results are applied to both state synchronization and output synchronization of master-slave IPBCNs.