In this paper

the stability of multi-input discrete-time delay linear systems with control saturation is investigated.Under some assumptions

in view of the case that actuator with control saturation

a sufficient criterion based on the Lyapunov method of the global asymptotic stability of the systems is given by defining the multi-input saturation function

and the description of invariant attraction region is proposed when the presented criterion is unsatisfied.Finally

an algorithm is designed to demonstrate...