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切换系统的全局指数稳定性

V·菲利普维奇

V·菲利普维奇. 切换系统的全局指数稳定性[J]. 应用数学和力学, 2011, 32(9): 1118-1126. doi: 10.3879/j.issn.1000-0887.2011.09.011
引用本文: V·菲利普维奇. 切换系统的全局指数稳定性[J]. 应用数学和力学, 2011, 32(9): 1118-1126. doi: 10.3879/j.issn.1000-0887.2011.09.011
V. Filipovic. Global Exponential Stability of Switched Systems[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1118-1126. doi: 10.3879/j.issn.1000-0887.2011.09.011
Citation: V. Filipovic. Global Exponential Stability of Switched Systems[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1118-1126. doi: 10.3879/j.issn.1000-0887.2011.09.011

切换系统的全局指数稳定性

doi: 10.3879/j.issn.1000-0887.2011.09.011
基金项目: 塞尔维亚科学技术发展部资助项目(TR-3326)
详细信息
  • 中图分类号: O317

Global Exponential Stability of Switched Systems

  • 摘要: 提出了一种确定切换系统稳定性分析的方法.引入了两个相关的实例(非完整系统和约束摆)进行说明.用有限个模型的集合组成非线性模型,且切换序列可以是任意的.假定在切换瞬间状态不出现跳跃,并且不出现Zeno现象,即在每个有界时间段上,切换次数是有限的.在对所确定切换系统的分析中,应用了多次Liapunov函数,并证明了全局指数稳定性.系统的指数稳定性平衡关系到实际应用,因为这样的系统有着更强健的抗干扰能力.
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出版历程
  • 收稿日期:  2011-02-09
  • 修回日期:  2011-05-01
  • 刊出日期:  2011-09-15

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