An investigation of exponential stability for externally interfered discrete-time systems under various concatenations of quantization and overflow nonlinearities is conducted in this article. A new criterion is proposed based on the passivity approach such that the interfered nonlinear discrete-time systems ensure passivity performance in terms of its storage function. The derived criterion not only considers the effects of overflow nonlinearity but also the consequences of quantization nonlinearity. Furthermore, the proposed criterion guarantees the passivity performance of the discrete-time system in the presence of external disturbance and exponential stability for zero disturbance. The reported conditions are defined in terms of linear matrix inequality, for easy tractability. Suitable examples are given to demonstrate the usefulness of the proposed work.
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