Uniformly ultimate boundedness for discontinuous systems with time-delay

被引：0
|
作者：
Xiao-wu Mu
Zhi-shuai Ding
Gui-fang Cheng
机构：
[1] Zhengzhou University,Department of Mathematics
[2] Zhengzhou University,Physical Engineering College
来源：
Applied Mathematics and Mechanics | 2011年 / 32卷
关键词：
Filippov solution; uniformly ultimate boundedness; discontinuous system; ratarded system; O231.2; 93C10; 93D05; 93D99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed. Based on the Lyapunov-Krasovskii functional, the Lyapunov theorem for the globally strongly uniformly ultimate boundedness of retarded discontinuous systems is presented. Furthermore, the result is applied to a class of mechanical systems with a retarded discontinuous friction item.
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页码：1187 / 1196
页数：9
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