| 线性时滞系统的时滞相关稳定性分析 |
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| 引用本文： | 郑敏,费敏锐,费树岷. 线性时滞系统的时滞相关稳定性分析[J]. 系统科学与数学, 2009, 29(4): 562-566 |
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| 作者姓名： | 郑敏 费敏锐 费树岷 |
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| 作者单位： | 1. 上海大学机电工程与自动化学院,上海,200072
2. 东南大学自动化学院,南京,210096 |
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| 摘 要： | 对于存在状态时滞的线性时滞系统,分为固定时滞及时变时滞两种情形,基于Lyapunov-Krasovskii理论分析稳定性,通过时滞划分,得到以LMI形式给出的一种保守性小的渐近稳定性条件,且能够处理任意变化的变时滞问题.实例表明只需粗略划分就能大大提高保守性能,为了兼顾计算负担,r取较小数值即可.并且LMI中的决策变量少,形式简洁.
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| 关 键 词： | 固定时滞及时变时滞 时滞系统 线性矩阵不等式 时滞依赖条件 |
| 收稿时间： | 2007-02-21 |
Delay-Dependent Stability Analysis for Linear Time Delay System |
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| ZHENG Min,FEI Minrui,FEI Shumin. Delay-Dependent Stability Analysis for Linear Time Delay System[J]. Journal of Systems Science and Mathematical Sciences, 2009, 29(4): 562-566 |
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| Authors: | ZHENG Min FEI Minrui FEI Shumin |
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| Affiliation: | (1)College of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072; (2)Department of Automation, Southeast University, Nanjing 210096. |
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| Abstract: | This paper is concerned with the stability of linear time delay systems. Both constant delay and time-varying delay cases are considered. The criteria of stability is derived by using the Lyapunov-Krasovskii theory and is formulated as feasibility problems of Linear Matrix Equalities. Numerical examples show that the performance will be improved notably even by coarse fractioning. |
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| Keywords: | Constant delay and time-varying delay time delay systems LMI delay-dependent conditions. |
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