A new robust stability criteria for discrete-time state-delayed uncertain system subject to quantization and overflow nonlinearities

Abstract

In this paper, a new stability criteria for the asymptotic stability of a discrete time state-delayed uncertain system subjected to various combinations of quantization and overflow nonlinearities has been derived in terms of linear matrix inequalities (LMIs) by defining a Lyapunov-Krasovskii functional. The proposed approach involve solving significantly less number of decision variables as compared to some of the other recently reported results. It is shown that in the absence of nonlinearities and uncertainties, our approach can be used for the stability analysis of linear discrete-time state-delayed system. The effectiveness of the proposed results is illustrated with the help of an example.