一类三阶非线性非自治系统的全局稳定性

Global Stability of a Class of Third-Order Nonlinear Nonautonomous Systems

本文运用“类比法”构造出了一类三阶非线性非自治系统的 L iapunov函数 ,得到了该系统的零解全局渐近稳定的充分条件。

This paper has made up a Liapunov's function for a class of third-order nonlinear nonautonomous systems by the use of “comparison method”,thereby deriving sufficient conditions of the global asymptotic stability of the trivial solution of the systems.