Exponential synchronization of delayed networked systems with delay‐dependent impulsive control

ABSTRACT This study deals with the synchronization problem in time‐delay networked systems with large delayed impulsive control. A novel inequality of the Razumikhin‐type is introduced, and it incorporates the concept of impulses with beyond‐interval delays by utilizing an innovative interval partition analysis approach. Based on the formulated inequality, a set of sufficient criteria for achieving global exponential synchronization (GES) in a class of networked leader–follower systems are obtained. Being different from the previous results in the literature, the novelty of the proposed approach exists in the fact that impulse delays are not constrained by the impulse interval, and the design process is much straightforward. Two numerical examples verify the effectiveness of the presented results.