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ROBUST STABILIZATION FOR CONSTRAINED DISCRETE-TIME SYSTEMS WITH TIME-VARYING DELAYS : AN LMI APPROACH

The stabilization of uncertain discrete-time linear systems with both saturating actuators and time-varying delays is addressed in this paper. Based on a novel Lyapunov function combined with LMI (Linear Matrix Inequality) techniques, sufficient conditions are developed to guarantee robust stabilization. A state feedback control law and the associated stability region are simultaneously determined via an LMI formulation. A numerical example illustrates the effectiveness of the proposed method.