| 线性时滞系统稳定性分析综述 |
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| 引用本文： | 张冬梅,俞立. 线性时滞系统稳定性分析综述[J]. 控制与决策, 2008, 23(8)-849 |
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| 作者姓名： | 张冬梅 俞立 |
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| 作者单位： | 1. 浙江工业大学理学院,杭州,3100322;浙江工业大学信息工程学院,杭州,310032
2. 浙江工业大学信息工程学院,杭州,310032 |
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| 摘 要： | 时滞在工程领域广泛存在,对此综述了线性时滞系统的稳定性研究方法.从频域和时域两个角度详细介绍了各种方法的特点,着重讨论基于线性矩阵不等式(LMI)的分析方法,指出保守性是分析的重点.对现有结果的保守性进行比较和评述,并提出了改进的思路.
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| 关 键 词： | 时滞系统 稳定性 保守性,线性矩阵不等式 时滞依赖 |
| 收稿时间： | 2007-05-08 |
| 修稿时间： | 2007-07-27 |
Survey on the stability analysis of linear time-delay systems |
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| ZHANG Dong-mei,YU Li. Survey on the stability analysis of linear time-delay systems[J]. Control and Decision, 2008, 23(8)-849 |
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| Authors: | ZHANG Dong-mei YU Li |
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| Affiliation: | ZHANG Dong-mei~(a,b),YU Li~b(a.College of Science,b.College of Information Engineering,Zhejiang University of Technology,Hangzhou 310032,China.) |
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| Abstract: | As time-delays are extensively encounted in many fields of engineering,the stability analysis method of linear time-delay systems is outlined.The characters of frequency domain method and time domain method are illustrated in detail.The linear matrix inequality(LMI)-based stability analysis approach is mainly discussed.It is pointed out that the conservatism is important for the stability analysis.Comparison and discussion are given on some existing results.Finally,some improvement directions are discussed. |
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| Keywords: | Time-delay systems Stability Conservatism Linear matrix inequality Delay-dependent |
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