D-stability analysis for a class of uncertain discrete systems with multiple time delays

In this paper, the robust D-stability problem for a class of nominally stable linear uncertain discrete systems with multiple time delays is considered. A delay-dependent criterion is first proposed to guarantee the D-stability of the uncertain system subject to structured perturbations. A criterion deduced from the robust D-stability criterion is then proposed to ensure the robust asymptotic stability of the uncertain system. It is shown that our results are less conservative than some other results in recent literature.