一类三阶非线性系统的全局稳定性

Global stability of a class of three-order nonlinear system

构造了一类三阶非线性系统的李雅普诺夫函数,得到了其零解全局渐进稳定的充分性准则,推广了文献中的大部分结果.

In this paper,a Lyapunov function of nonlinear syatem is constructed,and some sufficient conditions are given ensuring globally asymptotic stability of the zero solution of the system.It improves some results in the references.