一类四阶非线性系统的全局渐近稳定性

Global Asymptotical Stability of a Class of Fourth-Order Nonlinear System

运用类比法,构造了一类四阶非线性系统的李雅普诺夫函数,得到其平凡解全局渐近稳定的充分性准则,推广并改进了有关这类系统的其它结果.

This paper has made up a I.iapunov＇ s function of a class of fourth-order nonlinear system by the use of Liapunov＇s second method, and some sufficient conditions of global asymptotical stability of the zero solution are given, and then the other results in the references are improved.