一类四阶非线性系统的稳定性

STABILITY OF A CLASS OF FOURTH-ORDER NONLINEAR SYSTEM

在四阶线性系统的李雅的李雅普诺夫函数的基础上,运用“类比法”,构造一类四阶非线性系统的李雅普诺夫函数,从而推出该系统的平凡解稳定性的条件。

Based on a Liapunov＇s function of a class of the fourth-order linear system, this paper has made up a Liapunov＇s function of a class of fourth-order nonlinear system by the of “comparison method”, thereby deriving sufficient conditions of the stability of the nonlinear system.