Event-Driven Synchronization of Switched Complex Networks: A Reachable-Set-Based Design

This study is concerned with the event-driven synchronization for discrete-time switched complex networks. To mitigate the transmission frequency, the dynamic event-triggered mechanism is introduced to orchestrate information transmission. In addition, the investigated complex networks are subject to the unknown nonrandom perturbation with bounded peak, and thus, conventional approaches do not apply, and new approaches are required. For handling this situation, a novel reachable-set-based synchronization technique is then established. With the dwell time switching strategy, sufficient conditions with less conservativeness are formulated, under which the synchronization error is attracted exponentially to a bounded closed region for any initial conditions. Alternatively, for some specified initial sets, the synchronization error is constrained permanently in a bounded closed set. Finally, numerical simulations substantiate the effectiveness and applicability of the theoretical results.