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

Abstract EN

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.