一类非线性系统零解的稳定性分析

The Stability Analysis of Null solution to a Nonlinear System

对于一类非线性系统零解的稳定性问题,本文采用线性类比法,将非线性系统形式转化为线性系统,构造出Liapunov函数,从而判定该非线性系统零解的稳定性。

For stability problem of null solution of a nonlinear system, firstly, this paper adopts linear analogy method to transform nonfinear systems into linear systems, and then constructs Liapunov functions, finally, proves the stability of null solution.