This paper investigates static output feedback guaranteed cost control for a class of nonlinear discrete-time systems where the\ndelay in state vector is inconsistent with the delay in nonlinear perturbations. Based on the output measurement, the controller is\ndesigned to ensure the robust exponentially stability of the closed-loop system and guarantee the performance of system to achieve\nan adequate level. By using the Lyapunov-Krasovskii functional method, some sufficient conditions for the existence of robust\noutput feedback guaranteed cost controller are established in terms of linearmatrix inequality. A numerical example is provided to\nshow the effectiveness of the results obtained
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