Normal determinative function method for judging stability of nonlinear systems

摘要

This paper introduces a new method to solve Liapunov stability problems for time-invariant nonlinear systems the normal determinative function method. The topic is split into six parts: review of the construction of a V(x) function, the modified Liapunov theorem form while the derivative of V(x) is definite, polynomial features of the analytic system's normal determinative function V(x) judgment of definitiveness for a polynomial, coefficient direct solution method and the stabilty judgment of critical nonlinear systems, and future research.