Stability of Interfered Discrete-Time System with Concatenations of Quantization and Overflow

This paper investigates the stability behaviour of externally interfered discrete-time system under the influence of various finite-register length nonlinearities. Such nonlinearities include quantization and overflow which are commonly originated during hardware implementation. The proposed criteria guarantee the realization of limit-cycle free discrete-time system in the presence of external disturbances and finite-register length nonlinearities. The stability conditions are fabricated by employing passivity-based approach under combinations of quantization and overflow nonlinearities. With the help of the appropriate Lyapunov function along with the passivity condition, the asymptotic stability for the discrete-time system is also ensured under zero disturbance. Relevant examples are presented to show the applicational scope of the work.