A delay-dependent criterion for the global asymptotic stability of a class of uncertain discrete-time statedelayed systems using various combinations of quantization and overflow nonlinearities is presented. The proposed criterion is in the form of a linear matrix inequality and, hence, computationally tractable. A numerical example highlighting the usefulness of the proposed criterion is given. By choosing the parameters Q 1 = 1 I, Q 2 = 2 I, Q 3 = Q, Z 1 = 3 I/d, Z 2 = 4 I/d, X 11 = 5 I/d, X 22 = 6 I/d, Y 11 = 7 I/d, Y 22 = 8 I/d, X 12 = 0, Y 12 = 0, N = 0, M = 0, S = 0,
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