一类三阶非线性系统的全局稳定性

Global stability of a Class of Third-Order Nonlinear System

本文运用“类比法”,在文[1]的基础上,构造了一类三阶非线性系统的李雅普诺夫函数并给出了该系统的全局渐近稳定性的充分条件,较大推广了文[1]的结果。

In this paper, we have made up a Liapunov's function of a class of third- order nonlinear system. By using of “ comparison method' on the basis of paper[1] and attained sufficient conditions of the global stability of the nonlinear system. Our results make further progress thatn the result of paper [1].