一类不连续系统关于闭不变集的有限时间稳定性研究

程桂芳; 慕小武

doi:10.3879/j.issn.1000-0887.2009.08.014

一类不连续系统关于闭不变集的有限时间稳定性研究

doi: 10.3879/j.issn.1000-0887.2009.08.014

程桂芳^1,2,
慕小武¹

1.
郑州大学数学系,郑州 450001;2.郑州大学物理工程学院,郑州 450001

基金项目: 数学天元基金资助项目(10826078);国家自然科学基金资助项目(60874006)

详细信息

作者简介:
程桂芳(1979- ),女,河南温县人,讲师(联系人.E-mail:gfcheng@zzu.edu.cn).

中图分类号: O231.2
计量
- 文章访问数: 1474
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- 被引次数: 0
出版历程
- 收稿日期: 2008-10-31
- 修回日期: 2009-06-29
- 刊出日期: 2009-08-15

Finite-Time Stability With Respect to a Closed Invariant Set for a Class of Discontinuous Systems

CHENG Gui-fang^1,2,
MU Xiao-wu¹

1.
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;

摘要

摘要: 主要研究右端不连续系统在Filippov解意义下关于闭不变集(未必是紧集)的有限时间稳定问题．当Liapunov函数是Lipschitz连续的正则函数情况下，给出了相关的Liapunov稳定性定理．
- Filippov解 /
- 闭不变集 /
- 有限时间稳定 /
- 不连续系统
Abstract: The problem of finite-time stability is mainly discussed with respect to a closed (not necessarily compact) invariant set for a class of nonlinear systems with discontinuous righthand sides in the sense of Filippov solutions. When Liapunov function is Lipschitz continuous and regular, Liapunov theorem on finite-time stability with respect to a closed invariant set was presented.
- Filippov solution /
- closed invariant set /
- finite-time stability /
- discontinuous systems

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参考文献(19)

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