New ISS Result for Lipschitz Nonlinear Interfered Digital Filters Under Various Concatenations of Quantization and Overflow

Abstract

This paper establishes a new input-to-state stability (ISS) criterion for Lipschitz nonlinear discrete systems with external disturbance and finite register length nonlinearities. The finite register length nonlinearities comprise of different concatenations of quantization and overflow nonlinearities commonly produced in practice during the hardware realization of the discrete systems. The new ISS criterion can be utilized to affirm the diminishing consequence of external disturbance and to ensure whether the nonlinear system with zero disturbance is asymptotically stable. The utility of the criterion is demonstrated with the help of several examples.