一类非线性自治系统的稳定性

Stability of a Class of Nonlinear Autonomous System

在线性系统李雅普诺夫函数的基础上,运用"类比法"讨论了一类四阶非线性系统李雅普诺夫函数的构造,并给出了该系统平凡解稳定的充分条件.

On the basis of the Liapunov＇s function of linear system, this paper makes up a Liapunov＇s function of a class of fourth--order nonlinear system by using ＂Comparison Method＂. Moreover, we derive a sufficient condition of the stability of trivial solution for the nonlinear system.