Uniformly ultimate boundedness for discontinuous systems with time-delay

被引：7
|
作者：
Mu, Xiao-wu [1 ]
Ding, Zhi-shuai [1 ]
Cheng, Gui-fang [1 ,2 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China
[2] Zhengzhou Univ, Phys Engn Coll, Zhengzhou 450001, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Filippov solution; uniformly ultimate boundedness; discontinuous system; ratarded system;
D O I：
10.1007/s10483-011-1492-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：1187 / 1196
页数：10
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