Event-Triggered Synchronization of Switching Dynamical Networks With Periodic Sampling

This brief investigates event-triggered synchronization of switching dynamical networks with sampling communications, where the control protocol is developed by incorporating sampled-data with variable topological structure, and suffices to guarantee synchronization under some state-dependent triggering condition. By adopting an input delay approach, the synchronization problem is converted into the stability of a delay differential equation with time-varying coefficient, and some sufficient criteria are consequently deduced. It is revealed that the time average of the algebraic connectivity of the underlying network plays a key role in reaching synchronization, and the largest admissible sampling period is also estimated. Moreover, a corollary independent of the exact topological information is also derived. Numerical simulation is finally given to demonstrate the theoretical results.