Event-triggered control for robust set stabilization of logical control networks

This paper addresses the robust set stabilization problem of k-valued logical control networks (KVLCNs) via the algebraic state space representation approach, and proposes an event-triggered control scheme. Based on the algebraic form of KVLCNs, a necessary and sufficient condition is presented for the robust set stabilization of KVLCNs via time-variant state feedback control. Moreover, the event-triggered control design problem is formulated, and a sufficient condition is presented to design state feedback event-triggered controllers for the robust set stabilization of KVLCNs.