This paper is concerned with the design problem of D – stabilizing dynamic output feedback controllers for a class of discrete – time systems with time – varying network – induced delays. By separating the delays into several small units, the D – stabilization problem for the original networked control system is equivalently transferred into the stabilization problem for a delay – free switching system with arbitrary switching.

Then, a sufficient condition for the D-stability of the closed – loop system is derived in terms of linear matrix inequalities (LMIs), and a construction of the desired controllers which guarantee that all the closed – loop poles remain inside the specified disk D (α, r) is provided. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.