Set Stabilization of Boolean Control Networks With Impulsive Effects: An Event-Triggered Approach

Abstract

This brief investigates the set stabilization of Boolean control networks (BCNs) with impulsive effects via event-triggered control (ETC) scheme. An algorithm is designed to find the largest control invariant set, then its efficiency is authenticated. An interesting phenomenon is that some states may leave from the control invariant set at impulsive time steps. Afterward, a necessary and sufficient criterion is derived to determine the set stabilization of event-triggered controlled BCNs with impulsive effects. Finally, a biological example is given to illustrate the obtained results.