| 一类积分加权时滞型非线性微分包含的稳定性 |
| |
| 引用本文： | 郭树理,阎绍泽,黄 琳. 一类积分加权时滞型非线性微分包含的稳定性[J]. 控制与决策, 2004, 19(4): 429-432 |
| |
| 作者姓名： | 郭树理 阎绍泽 黄 琳 |
| |
| 作者单位： | 清华大学,精密仪器与机械系,北京,100084;北京大学,力学与工程科学系,北京,100871 |
| |
| 摘 要： | 采用多面体Lyapunov函数分析微分包含的稳定性，即通过建立一类内积型Lyapunov—Krasovskii泛函，分析一类积分加权时滞型非线性微分包含的零解渐近稳定性。得到了一些关于零解渐近稳定性和B—鲁棒渐近稳定性的充分条件，这些充分条件在计算上是简洁实用的。
|
| 关 键 词： | Lyapunov-Krasovskii泛函 非线性微分包含 渐近稳定性 B鲁棒渐近稳定 |
| 文章编号： | 1001-0920(2004)04-0429-04 |
| 修稿时间： | 2002-01-24 |
Stability analysis of a kind of nonlinear differential inclusions with integral time-delay weighted parts |
| |
| GUO Shu-li,YAN Shao-ze,HUANG Lin. Stability analysis of a kind of nonlinear differential inclusions with integral time-delay weighted parts[J]. Control and Decision, 2004, 19(4): 429-432 |
| |
| Authors: | GUO Shu-li YAN Shao-ze HUANG Lin |
| |
| Affiliation: | GUO Shu-li~1,YAN Shao-ze~1,HUANG Lin~2 |
| |
| Abstract: | Polyhedral Lyapunov functions are used to analyze a class of Lyapunov-Krasovskii functional under (general) similarity of matrices. Some sufficient conditions on globally asymptotical stability (GAS) and of B-robust (stability) of the origin for a class of nonlinear differential inclusions are obtained, and these results are computationally (simple) and convenient. |
| |
| Keywords: | Lyapunov-Krasovskii functional nonlinear differential inclusion asymptotical stability B-robust (asymptotical) stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《控制与决策》浏览原始摘要信息 |
|
点击此处可从《控制与决策》下载全文 |
