浅谈李雅普诺夫函数的构造及应用

Briefly Discuss the Construction and Application of Liapunov Function

文章分析常微分方程课程的稳定性理论中“李雅普诺夫(Liapunov)的第二方法,”并通过例子说明如何利用已构造的一个辅助函数即李雅普诺夫(Liapunov)函数来判断一个系统的稳定性。

Having done investigation and enhanced study on ＂Liapunov second method＂ （direct method）, the essay briefly analyzes the possibility of constructing and applying Liapunov function. Some examples are also illustrated to show how Liapunov function can be used to determine the stability of system.