Exponential Stabilization via Event-triggered Control for Linear Discrete-time Delayed Systems

This paper studies the exponential stabilization issue for linear discrete-time delayed systems (L-DDS) by event- triggered control (ETC) . The ETC scheme is based on the state feedback control which is updated when an event is triggered via a triggering condition. Under the designed ETC, the closed-loop L-DDS is a discrete-time switched system with the switchings driven by events expressed by a condition of state. Criteria for achieving exponential stabilization by the ETC is derived. Thus the exponential stabilization is achieved for L-DDS by the designed ETC. The algorithm with some discussions on the non-triviality are given for the improvement of ETC. Finally, one example with numerical simulations is worked out for illustration.