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This paper considers synthesis of discrete-time gain-scheduled controllers for linear parameter varying systems based on linear matrix inequalities (LMIs). Unlike most of the previous results, gain-scheduled controllers that depend on memory of the scheduling parameters are investigated in this paper. Through the method of change-of-variables, parameter-dependent LMIs are obtained for synthesis of gain-scheduled controllers from extended LMIs for H8 and H2 performances. Numerical examples are provided to illustrate the proposed synthesis methods.