Impulsive synchronization of discrete-time networked oscillators with partial input saturation

In this paper, a novel impulsive control with partial input saturation is proposed to synchronize a class of discrete-time delayed coupled networks. The proposed impulsive control with partial input saturation means that the considered impulsive controllers are subject to input saturation, and only a fraction of nodes are injected with controllers. For this purpose, the Razumikhin-type technique and mathematical induction are utilized to derive a sufficient criterion. In addition, the control gains are calculated by transforming the criterion into a convex optimization problem. Finally, the result is verified through numerical simulation.