| 引用本文: | 刘健辰,章兢,张红强,何敏.时滞系统稳定性分析和镇定: 一种基于Finsler引理的统一观点[J].控制理论与应用,2011,28(11):1577~1582.[点击复制] |
| LIU Jian-chen,ZHANG Jing,ZHANG Hong-qiang,HE Min.Stability analysis and stabilization for time-delay systems: a unified viewpoint of Finsler’s lemma[J].Control Theory and Technology,2011,28(11):1577~1582.[点击复制] |
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| 时滞系统稳定性分析和镇定: 一种基于Finsler引理的统一观点 |
| Stability analysis and stabilization for time-delay systems: a unified viewpoint of Finsler’s lemma |
| 摘要点击 2104 全文点击 1191 投稿时间：2010-06-05 修订日期：2011-01-09 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.11.CCTA100670 |
| 2011,28(11):1577-1582 |
| 中文关键词 时滞系统 时滞相关 Finsler引理 线性矩阵不等式 |
| 英文关键词 time-delay system delay-dependent Finsler’s lemma linear matrix inequality |
| 基金项目 国家自然科学基金资助项目(61174140); 湖南省教育厅科学研究基金资助项目(07C264). |
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| 中文摘要 |
| 从Finsler引理角度, 研究时滞系统的时滞相关稳定性分析和镇定问题, 发现自由权矩阵方法是该研究框架的一个特例, 阐明引入乘子矩阵对分析时变时滞系统稳定性的必要性, 讨论乘子矩阵结构对所得结果保守性的影响, 提出一些改进的基于线性矩阵不等式的稳定性判据和镇定控制器设计算法, 数值算例表明所提出方法的有效性. |
| 英文摘要 |
| This paper investigates the delay-dependent stability and stabilization of time-delay systems from the viewpoint of Finsler’s lemma. The free-weighting matrices method is a special case of the proposed unified framework. It is necessary to introduce multiplier matrices for the stability analysis of the time-varying delay systems. The construction of the multiplier matrices affecting the conservatism of the results is discussed. Improved stability criteria and design algorithms for the stabilizing controller are developed in terms of linear matrix inequalities. Numerical examples illustrate the effectiveness of the proposed methods. |