A result on stability of nonlinear discrete time systems and its application to recursive digital filters

In this paper, absolute stability conditions for a class of nonlinear discrete-time systems are given. This class is directly related with a given class of recursive digital filters presenting nonlinearities provoked by rounding and truncation in finite word operations. From the given result, based on the filter coeficients, new algebraic absolute stability conditions are provided. A comparison with known digital filter stability conditions is presented.