  Event-triggered and self-triggered control have been proposed in recent years
as promising control strategies to reduce communication resources in Networked
Control Systems (NCSs). Based on the notion of set-invariance theory, this note
presents new self-triggered control strategies for linear discrete-time systems
subject to input and state constraints. The proposed schemes not only achieve
communication reduction for NCSs, but also ensure both asymptotic stability of
the origin and constraint satisfactions. A numerical simulation example
validates the effectiveness of the proposed approaches.
