二阶非线性系统的全局稳定性

The Global Stability of a Second Order Nonlinear System

本文用直接由系统右端构造Ｌｉａｐｕｎｏｖ函数的方法，建立了一类二阶非线性系统的零解全局渐近稳定的条件，证明了这类系统为非常稳定且具有平稳振荡的结论。

In this paper,using the method of constructing a Liapunov function bythe right-hand side of the system directly, we establish the conditions of theglobal asymptotic stability of the zero solution in a class of second ordernonlinear system,and prove the conclusions that this kind of the system isextremely stable and possesses steady oscillation.