| 多时变状态和控制时滞系统的绝对稳定性 |
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| 引用本文： | 何 勇,吴 敏.多时变状态和控制时滞系统的绝对稳定性[J].控制理论与应用,2004,21(4):595-598. |
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| 作者姓名： | 何 勇 吴 敏 |
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| 作者单位： | 1. 中南大学,信息科学与工程学院,湖南,长沙,410083;中南大学,数学科学与计算技术学院,湖南,长沙,410083
2. 中南大学,信息科学与工程学院,湖南,长沙,410083 |
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| 基金项目： | 博士点基金项目(2000053303); 教育部青年教师资助计划项目(教人[2002]5号). |
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| 摘 要： | 研究了具有多时变状态和控制时滞的Lurie控制系统基于线性矩阵不等式(LMI)的绝对稳定性条件.首先,构造了关于Lyapunov泛函中正定矩阵和积分项系数等自由参数的LMI,获得了系统时滞无关绝对稳定条件.进一步引入自由权矩阵来表示牛顿-莱布尼兹公式中各项的相互关系,得到了系统绝对稳定的时滞相关条件.最后,通过一个实例阐述了本文方法的有效性和相比已有结果的优越性.
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| 关 键 词： | Lurie控制系统 绝对稳定 线性矩阵不等式 时变时滞 |
| 文章编号： | 1000-8152(2004)04-0595-04 |
| 收稿时间： | 2003/1/14 0:00:00 |
| 修稿时间： | 2003/9/16 0:00:00 |
Absolute stability for Lurie control systems with time-varyingdelays in both state and control input |
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| HE Yong,WU Min.Absolute stability for Lurie control systems with time-varyingdelays in both state and control input[J].Control Theory & Applications,2004,21(4):595-598. |
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| Authors: | HE Yong WU Min |
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| Affiliation: | School of Information Science and Engineering, Central South University,Changsha Hunan 410083,China; School of Mathematical Science and Computing Technology, Central South University,Changsha Hunan 410083,China |
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| Abstract: | Based on the linear matrix inequalty (LMI), some absolute stability conditions for Lurie control systems with time_varying delays in both state and control input are derived. First, the delay_independent absolute stability conditions were obtained, which were described by LMI for the free parameters such as the positive definite matrix and the coefficients of the integral terms in the Lyapunov functional. Moreover, new delay_dependent absolute stability criteria were presented, in which some free weighting matrices that express the relationships between the terms in the Leibniz_Newton formula were introduced. Finally, a numerical example was provided to demonstrate the effectiveness of the proposed method. |
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| Keywords: | Lurie control system absolute stability linear matrix inequality (LMI) time_varying delays |
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