| 摘要: |
| 利用Liapunov函数法,给出两类方程x+g(ẋ)ẍ+bẋ+f(x)=e(t,x,ẋ,ẍ)和x+g(ẋ)ẍ+f(x)ẋ+cx=e(t,x,ẋ,ẍ)零解全局渐近稳定性的充分条件,推广文献[1~4]中的相关结论。 |
| 关键词: 非自治系统 Liapunov函数 全局渐近稳定性 |
| DOI： |
| 投稿时间：2004-12-06修订日期：2005-02-24 |
| 基金项目:湖南省自然科学基金项目(03JJY3014);永州市科技局项目资助 |
|
| The Global Asymptotic Stability of Two Classes 3rd Non-autonomous System |
|
DENG Chun-hong1,2, LIU Yong-jian2
|
| (1.Department of Mathematics and Computer Sciences, Hunan University of Science and Engineer, Yongzhou, Hunan, 425006, China;2.College of Mathematics and Computer Science, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| By Liapunov's second method, we get the sufficient conditions for the global asymptotic stability of zero solutions of the two classes of equations:x+ g (ẋ)ẍ+ bẋ+ f (x)=e (t, x, ẋ, ẍ) and x+ g (ẋ)ẍ+ f (x)ẋ+ cx=e (t, x, ẋ, ẍ), and the related results in References [1~4] are extended. |
| Key words: non-autonomous system Liapunov function global asymptotic stability |
