| 分数阶奇异系统容许性的充分必要条件 |
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| 引用本文： | 余瑶,焦壮,孙长银.分数阶奇异系统容许性的充分必要条件[J].自动化学报,2013,39(12):2160-2163. |
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| 作者姓名： | 余瑶 焦壮 孙长银 |
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| 作者单位： | 1.北京科技大学自动化学院 北京 100083; |
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| 摘 要： | 探讨了阶数在（0，1）区间的分数阶奇异系统的容许性条件. 文中首先给出了正则性，无脉冲性和容许性的定义，然后给出了分数阶奇异系统容许性的充分必要条件，最后通过数值仿真的例子来说明我们给出的容许性条件.
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| 关 键 词： | 分数阶奇异系统 正则性 无脉冲性 容许性 |
| 收稿时间： | 2012-12-12 |
Sufficient and Necessary Condition of Admissibility for Fractional-order Singular System |
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| YU Yao,JIAO Zhuang,SUN Chang-Yin.Sufficient and Necessary Condition of Admissibility for Fractional-order Singular System[J].Acta Automatica Sinica,2013,39(12):2160-2163. |
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| Authors: | YU Yao JIAO Zhuang SUN Chang-Yin |
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| Affiliation: | 1.School of Automation & Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2.Key Laboratory of Advanced Control of Iron and Steel Process, Ministry of Education, Beijing 100083, China;3.Beijing Institute of Electronic System Engineering, Beijing 100854, China |
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| Abstract: | This paper focuses on the admissibility condition for fractional-order singular system with order α∈(0, 1). The definitions of regularity, impulse-free and admissibility are given first, then a sufficient and necessary condition of admissibility for fractional-order singular system is established. A numerical example is included to illustrate the proposed condition. |
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| Keywords: | Fractional-order singular systems regularity impulse-free admissibility |
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