| 奇异时滞系统的时滞依赖稳定性判据 |
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| 引用本文： | 冯毅夫,朱训林,张庆灵.奇异时滞系统的时滞依赖稳定性判据[J].自动化学报,2010,36(3):433-437. |
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| 作者姓名： | 冯毅夫 朱训林 张庆灵 |
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| 作者单位： | 1.东北大学系统科学研究所 沈阳 110004 |
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| 基金项目： | Supported by National Natural Science Foundation of China(60574011) |
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| 摘 要： | 讨论了奇异时滞系统的稳定性问题. 首先, 在几个最新的结果之间建立了等价性, 并给出了一个简化的稳定性判据. 然后, 通过使用时滞分解的方法, 得到了一个新的稳定性判据. 它比现有结果具有更少的保守性. 最后, 给出了一个数值例子, 表明了新判据是有效的且保守性较小.
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| 关 键 词： | 时滞依赖的稳定性 奇异系统 线性矩阵不等式 时滞分解方法 等价性 |
| 收稿时间： | 2008-12-10 |
| 修稿时间： | 2009-3-6 |
Delay-dependent Stability Criteria for Singular Time-delay Systems |
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| FENG Yi-Fu, ZHU Xun-Lin ZHANG Qing-Ling.Delay-dependent Stability Criteria for Singular Time-delay Systems[J].Acta Automatica Sinica,2010,36(3):433-437. |
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| Authors: | FENG Yi-Fu ZHU Xun-Lin ZHANG Qing-Ling |
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| Affiliation: | 1.Institute of Systems Science, Northeastern University, Shenyang 110004, P.R. China ;2.Jilin Normal University, Siping 136000, P.R. China;3.School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, P.R. China;4.Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China |
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| Abstract: | This note studies the problem of singular time-delay systems. At first, a simplified stability criterion is derived after establishing equivalence among several recently proposed stability criteria. By using a delay decomposition method, a new stability criterion, which is much less conservative than the existing ones, is presented. A numerical example is given to illustrate the effectiveness and less conservatism of the new proposed stability criterion. |
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| Keywords: | Delay-dependent stability singular systems linear matrix inequality (LMI) delay decomposition method equivalence |
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