一类三阶非线性系统的全局稳定性

The whole stability of a class of third order nonlinear system

用Lyapunov方法给出了非线性系统x…+a¨x+g(x, x) x+h(x)=0和x…+a¨x+g( x,¨x) x+h(x)=0全局稳定性的两个定理,从而推广了相应文献中的某些结果.

The two theorems on the whole stability of the nonlinear system x …+a +g(x, ) +h(x)=0 and x …+a +g( , ) +h(x)=0 are given by using Lyapunov method,then some results in the references are generalized.