## 留言板

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.
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.

• 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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