Abstract:The impulsive network control issue for discrete-time delayed systems (DDS) is investigated, and an impulsive network control scheme for DDS is proposed. Under the impulsive control, the DDS is changed to a discrete-time impulsive hybrid system. The impulsive control signals of two cases (with/without network-induced delay) are studied respectively. By means of matrix spectrum, eigenvalue theory and dwell time, globally uniform exponential stability criteria for the discrete-time impulsive hybrid system are derived, and the DDS exponential stabilization is achieved. Finally, a calculated numerical simulation example is given for illustration.