一类四阶非线性系统的全局稳定性及MATLAB实现

Global Stability of a Class of Fourth-order Nonlinear System and Its Matlab Realization

在四阶常系数线性系统李雅普诺夫函数公式的基础之上,借助于MATLAB软件,通过"类比法"构造出一类四阶非线性系统的李雅普诺夫函数,并获得了该非线性系统零解全局渐近稳定的充分条件.

On the basis of the Lyapunov＇ s functions of a fourth - order linear system with constant coefficients, Lyapunov＇s function of a class of Forth - order nonlinear system is constructed by using ＂comparison method＂ with MATLAB software. And the sufficient condition of the Global stability of the zero- solution for this nonlinear system is given.