Synchronization of Network Systems Subject to Nonlinear Dynamics and Actuators Saturation

This paper investigates the synchronization of network systems with time-varying delay, nonlinear dynamics and actuators saturation through the use of sampled-data controllers. Using tools from free-weighting matrix approach and Lyapunov stability theory, sufficient conditions for the synchronization of network systems are derived. It is theoretically shown that the synchronization of network systems can be achieved if the controller gain is selected suitably. Furthermore, the upper bound of sampling intervals for achieving synchronization is estimated via a simple algorithm. The effectiveness of the obtained results is verified through two numerical examples.