一类四阶非线性系统全局渐近稳定性的充分性判断

The Linear Analogy on Analysizing the Stability of Third-order Nonlinear Systems

本文将四阶常系数线性系统化为等价系统,并计算它们的liapunov函数,然后利用对比的方法得到四阶非线性系统的liapunov函数,进而得到四阶非线性系统稳定性的条件。

In this paper,we have turned the fourth-order linear system with contant coefficients into the equivalent system and figured out the liapunov function.Then we have made up the Liapunov function of the fourth-order nonlinear system by the use of linear Analogy and derived the sufficient conditions of the stability of the nonlinear system.