| 一类周期线性时变切换系统的稳定性 |
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| 引用本文： | 丁志帅,杨宗立,魏菊梅.一类周期线性时变切换系统的稳定性[J].数学的实践与认识,2009,39(18). |
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| 作者姓名： | 丁志帅 杨宗立 魏菊梅 |
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| 作者单位： | 1. 郑州大学,数学系,河南,郑州,450001
2. 郑州大学,离退休职工干部处,河南,郑州,450001 |
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| 基金项目： | 国家自然科学基金，数学天元基金 |
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| 摘 要： | 讨论一类包含一组线性时变子系统和一个周期切换信号的切换系统的稳定性.在系统满足一定条件的情况下,利用Floquet定理,给出了周期线性时变切换系统指数稳定的充分必要条件.
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| 关 键 词： | 指数稳定 周期线性切换系统 时变系统 Floquet定理 |
Stability Analysis of a class of Periodically Switched Linear Time-varying Systems |
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| DING Zhi-shuai,YANG Zong-li,WEI Ju-mei.Stability Analysis of a class of Periodically Switched Linear Time-varying Systems[J].Mathematics in Practice and Theory,2009,39(18). |
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| Authors: | DING Zhi-shuai YANG Zong-li WEI Ju-mei |
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| Abstract: | This paper deals with the stability of a class of periodically swithed linear time-varying systems that consists of a set of linear time-varying subsystems and a periodic switching signal. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability if the system satifies certain conditions. |
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| Keywords: | exponential stability periodically switched linear systems time-varying systems Floquet theory |
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