| 离散线性周期切换系统的渐近稳定性 |
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| 引用本文： | 许珍惜,卜春霞.离散线性周期切换系统的渐近稳定性[J].河南科学,2011,29(6):651-653. |
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| 作者姓名： | 许珍惜 卜春霞 |
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| 作者单位： | 1. 河南理工大学高等教育研究所,河南焦作,454003;郑州大学数学系,郑州,450001
2. 郑州大学数学系,郑州,450001 |
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| 基金项目： | 河南省科技厅资助项目，河南省教育厅资助项目 |
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| 摘 要： | 基于驻留时间的方法,分两种情况讨论了一类离散周期切换系统切换周期的设计问题,当切换系统中每个子系统都是Schur稳定时,给出了切换周期的最小下界求法;当切换系统中含有不稳定的子系统时,得出保证切换系统渐近稳定的一个充分条件.
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| 关 键 词： | 离散线性周期切换系统 渐近稳定性 驻留时间 Schur稳定 |
The Asymptotic Stability of Discrete Linear Periodic Switched Systems |
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| Xu Zhenxi,Bu Chunxia.The Asymptotic Stability of Discrete Linear Periodic Switched Systems[J].Henan Science,2011,29(6):651-653. |
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| Authors: | Xu Zhenxi Bu Chunxia |
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| Institution: | 1.Higher Education Institution,Henan Polytechnic University,Jiaozuo 454003,Henan China; 2.Mathematics Department,Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | Basing on the method of dwell-time,authors consider the design of switched period of a class of discrete linear periodic switched systems.When all subsystems are Schur stable,the lower bound of switched period is obtained.A sufficient condition for the stability of switched systems is founded in the case of there is a unstable subsystem in switched systems. |
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| Keywords: | discrete linear switched systems asymptotic stability dwell-time Schur stability |
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