Impulsive Networked Control for Discrete-time Delayed Systems*

This paper investigates the impulsive networked control issue for discrete-time delayed systems (DDSs). An impulsive networked control scheme is proposed for DDSs. Under the impulsive control, the DDS is changed to a discrete-time impulsive hybrid system. Two cases (with/without network-induced delay) are studied respectively for the impulsive control signals. By utilizing methods such as matrix spectrum and eigenvalue theory and dwell time, global uniform exponential stability (GUES) criteria are derived for the discrete-time impulsive hybrid system, under which exponential stabilization is achieved for the DDS. Moreover, the obtained results are used to design the impulsive consensus control for discrete-time delayed networks (DDNs) with non-identical nodes, and the exponential impulsive networked consensus is realized for DDNs. Finally, one example with numerical simulations is worked out for illustration.