Prespecified time synchronization of dynamic complex network via intermittent event-triggered control

This paper deals with prespecified time synchronization (PTS) for dynamic networks via intermittent event-triggered control (IETC). A novel lemma is developed to analyze PTS under the intermittent control framework. During the controlled intervals of the intermittent control mechanism, an event-triggered mechanism is devised by incorporating a function that gradually approaches zero as time approaches the settling time, acting as a threshold. Correspondingly, the intermittent event-triggered controller is constructed to achieve PTS of controlled networks. With the help of the designed intermittent event-triggered prespecified time (PT) controller, some simpler sufficient criterion are derived for realizing PTS. Additionally, it is demonstrated that the designed controller maintain bounds despite an increase in control gain and the control process is free of Zeno phenomena. And some numerical examples are represented to substantiate our theoretical results.