A stability property and its application to discrete-time nonlinear system control

Abstract

An inequality on the solution of discrete-time nonlinear systems is established. A special case of this inequality leads to a stability result that is the counterpart of the Kelemen theorem on continuous-time systems. Application of this inequality gives some results on stability, regulation, and tracking of the discrete-time nonlinear systems.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>