Event‐Triggered Control for the Stabilization of Probabilistic Boolean Control Networks

Abstract

This paper realizes global stabilization for probabilistic Boolean control networks (PBCNs) with event‐triggered state feedback control (ETSFC). Via the semitensor product (STP) of matrices, PBCNs with ETSFC are converted into discrete‐time algebraic systems, based on which a necessary and sufficient condition is derived for global stabilization of PBCNs. Furthermore, an algorithm is presented to design a class of feasible event‐triggered state feedback controllers for global stabilization. Finally, an illustrative example shows the effectiveness of the obtained result.