Abstract: This paper focuses on the problem of dissipative control for linear discretetime systems with time-delay. The objective is to design memoryless state feedback controllers such that the closed-loop system achieves internal stability and strict (Q, S,R)-dissipativeness. The existence of the dissipative controller depends on the feasibility of linear matrix inequality (LMI). Furthermore, for uncertain systems characterized by dissipative uncertainty, the results of analysis and synthesis for robust dissipative strict control are then obtained in terms of LMI.