Event-triggered-based finite-time pinning synchronization control for multi-layer complex networks

In this paper, the issue of event-triggered finite-time pinning synchronization control for multi-layer networks is discussed. To reduce control costs and ensure that the networks under consideration synchronize to the intended trajectory in a finite amount of time, the finite-time pinning controller is first created for nodes of various sorts. The controller based on the event-triggered scheme is then suggested to lessen the pressure on the networks' channels. We determine the prerequisite for the multi-layer network's ability to accomplish finite temporal synchronization through the stability analysis of the Lyapunov function. Finally, a numerical analysis is used to confirm the validity of the suggested strategy.