A Technique of a Stability Domain Determination for Nonlinear Discrete Polynomial Systems

摘要

This paper is devoted to the asymptotic stability region estimation for nonlinear discrete polynomial systems. An algebraic method is derived for the enlargement of a guaranteed stability region in which the asymptotic stability is ensured. The advantages of the proposed method are the accuracy of determination of the largest stability boundary, its numerical and theoretical robustness and its applicability to wide classes of dynamical discrete systems. A numerical example illustrates the proposed method.