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基于向量Liapunov函数不连续系统的稳定性研究

慕小武 程桂芳 丁志帅

慕小武, 程桂芳, 丁志帅. 基于向量Liapunov函数不连续系统的稳定性研究[J]. 应用数学和力学, 2007, 28(12): 1441-1447.
引用本文: 慕小武, 程桂芳, 丁志帅. 基于向量Liapunov函数不连续系统的稳定性研究[J]. 应用数学和力学, 2007, 28(12): 1441-1447.
MU Xiao-wu, CHENG Gui-fang, DING Zhi-shuai. On the Stability of Discontinuous Systems via Vector Liapunov Functions[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1441-1447.
Citation: MU Xiao-wu, CHENG Gui-fang, DING Zhi-shuai. On the Stability of Discontinuous Systems via Vector Liapunov Functions[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1441-1447.

基于向量Liapunov函数不连续系统的稳定性研究

详细信息
    作者简介:

    慕小武(1963- ),男,河南温县人,教授(联系人.Tel:+86-371-67762897;Fax:+86-371-67766220;E-mail:muxiaowu@zzu.edu.cn).

  • 中图分类号: O231.2

On the Stability of Discontinuous Systems via Vector Liapunov Functions

  • 摘要: 基于局部Lipschitz连续且正则(Clarke意义下)的向量Liapunov函数,讨论不连续自治系统的稳定性(Filippov解意义下).通过定义一类新的向量Liapunov函数的“集值导数”,给出了关于不连续系统的广义比较原理.基于Lipschitz连续且正则的向量Liapunov函数,进一步的给出不连续自治系统的Liapunov稳定性定理.
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出版历程
  • 收稿日期:  2006-07-04
  • 修回日期:  2007-10-12
  • 刊出日期:  2007-12-15

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