On stability of a class of discrete nonlinear systems

Some results on the stability of discrete nonlinear systems with output feedback are given. The definitions and basic properties of comparable systems are presented. This class of comparable systems is broad and includes most practically encountered systems, for example, all plants described by functions of Lipschitz's class, polynomials, functions with arbitrary order derivatives, and bilinear functions. Two cases, feedback laws with and without time delay, are considered. A number of theorems establish simple and easy-to-use stability criteria for both cases. The application of the developed theory is illustrated by several examples.<>