STABILITY OF A LARGE CLASS OF DISCRETE NONLINEAR SYSTEMS WITH ADDITIVE NOISES

摘要

In this paper, discrete nonlinear models with additive noise terms are studied. A new approach to classify and analyze discrete nonlinear systems is proposed. The classes of comparable stochastic systems, presented in the paper, include the majority of nonlinear plants encountered in practice. The stability criteria of discrete stochastic systems based on a non-Lyapunov method are derived for the new frame. Sufficient conditions of stability are obtained without the assumption of stationarity for the random noises as frequently assumed in the literature.