| 摘要: |
| 通过Lyapunov泛函方法,获得了一类多滞量动力系统的运动稳定性、有界性、周期运动存在性的几个定理。应用所获得的定理解决了几个问题。 |
| 关键词: Lyapunov函数 稳定性 有界性 周期运动 |
| DOI: |
| 投稿时间:1996-04-08修订日期:1996-09-11 |
| 基金项目:广西自然科学基金 |
|
| Stability and Boundedness for a Class of Dynamical System with Delay's and Their Applications |
|
Xi Hongjian
|
| (Dept. of Math. &. Info. Sci., Guangxi Univ., 10 Xixiangtang Roa, Nanning, Guangxi, 530004) |
| Abstract: |
| The dynamical system with delay's is considered.We obtain some theorem on stability, boundedness,existence of periodic motions and stationary oscillation by means of the method of Lyapunov function. |
| Key words: Lyapunov function stability boundedness periodic motions |