Finite-time synchronization of the drive-response networks by event-triggered aperiodic intermittent control

In this paper, the finite-time synchronization problem of complex networks with time-varying delays is investigated by event-triggered intermittent control. By mean of introducing the event-triggered control (ETC) mechanism and the aperiodic intermittent control (AIC) scheme, an event-triggered intermittent control (ETIC) synthesis for complex networks with time-varying delays is proposed, which is more in line with the actual situation. An modified lemma is derived without predeg intermittent instants. This lemma lead to the existence of the finite-time ETIC. And based on this lemma with the proposed ETIC scheme and the finite-time stability theory, sufficient conditions are presented to guarantee the achievement of finite-time synchronization for all change to time-varying delays complex networks and eliminate the Zeno behavior. Finally, numerical examples are given to verify the effectiveness of the theoretical results and the practicability of the proposed control method.