Robust stability of discrete-time state-delayed systems with saturation nonlinearities: Linear matrix inequality approach

Abstract

This paper addresses the problem of global asymptotic stability of a class of uncertain discrete-time state-delayed systems employing saturation nonlinearities. The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based new criterion for the global asymptotic stability of such systems is presented. It is shown that several previously reported stability criteria for systems with saturation nonlinearities are recovered from the presented approach as special cases.