  This paper studies the problem of event-triggered impulsive control for
discrete-time systems. A novel periodic event-triggering scheme with two
tunable parameters is presented to determine the moments of updating impulsive
control signals which are called event times. Sufficient conditions are
established to guarantee asymptotic stability of the resulting impulsive
systems. It is worth mentioning that the event times are different from the
impulse times, that is, the control signals are updated at each event time but
the actuator performs the impulsive control tasks at a later time due to time
delays. The effectiveness of our theoretical result with the proposed scheme is
illustrated by three examples.
