Event-triggered control for the synchronization of Boolean control networks

摘要

This paper concerns the synchronization of drive-response Boolean control networks (BCNs) under event-triggered control. The algebraic form of drive-response BCNs can be acquired with the help of semi-tensor product of matrices. Using the algebraic form, a necessary and sufficient condition is obtained for the synchronization of drive-response BCNs. Then, a constructive procedure is presented to design event-triggered controllers for the drive-response BCNs. Moreover, we also design event-triggered controllers such that an array of drive-response BCNs achieve synchronization. Finally, an numerical example is given for the illustration of the result.