Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control

Abstract

This paper investigates the robust control invariance of probabilistic Boolean control networks via the technique of semi-tensor product. Some essential conditions are obtained to check whether the set is a robust event-triggered control invariant set (RETCIS) through the given event-triggered-controller (ETC). Moreover, an algorithm is designed for ETC to ensure that the given set is RETCIS. At last, a model of the apoptosis network shows the effectiveness of the main results.