两个三阶非线性系统的全局渐近稳定性

On the Global Asymptotic Stability of Two Nonlinear Third Order Systems

本文利用能量度量算法构造了非线性系统x… +ax¨+f(x·)x·+g(x) =0 (其中g(0 ) =0 )和x… +ax¨+g(x)x·+cx =0的 Liapunov函数 ,从而研究了它们零解的全局渐近稳定性。

In this paper,We construct Liapunov function of x...+a x ¨+f(x·)x·+g(x)=0(g(0)=0) and x...+a x ¨+g(x)x·+cx=0 by the energy metric algorithm,then study their global asymptotic stability.