In this paper

the problem of guaranteed cost control for a class of uncertain nonlinear discrete systems with state and input delay is studied. By applying Lyapunov stability theory and linear matrix inequality approach

sufficient conditions for the existence of state feedback controller are obtained to guarantee that the asymptotical stability of the close loop system and the quadratic performance index less a certain bound for all admissible uncertainties

t herefore

guaranteed cost problem solving. Finally

the effectiveness of the proposed method can be illustrated by the simulation example.