| 多时滞Lurie控制系统的时滞相关鲁棒稳定性 |
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| 引用本文： | 陈东彦,刘伟华.多时滞Lurie控制系统的时滞相关鲁棒稳定性[J].控制理论与应用,2005,22(3):499-502. |
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| 作者姓名： | 陈东彦 刘伟华 |
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| 作者单位： | 哈尔滨理工大学,信息与计算科学系,黑龙江,哈尔滨,150080;哈尔滨理工大学,信息与计算科学系,黑龙江,哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金资助项目(10471031). |
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| 摘 要： | 时滞Lurie控制系统的稳定性条件与Lyapunov函数的选取有关.本文对多时滞Lurie控制系统进行了变换,然后选择一个适当的Lyapunov函数,利用Lyapunov稳定性方法并结合Moon引理,得到了多时滞Lurie控制系统的时滞相关鲁棒稳定性判别条件,该条件是以线性矩阵不等式(LMI)给出的,可用Matlab求解.最后用一个算例验证了所得方法的有效性.
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| 关 键 词： | 多时滞Lurie控制系统 Lyapunov函数 时滞相关鲁棒稳定性 线性矩阵不等式 |
| 文章编号： | 1000-8152(2005)03-0499-04 |
| 收稿时间： | 5/6/2003 12:00:00 AM |
| 修稿时间： | 2004/9/17 0:00:00 |
Delay-dependent robust stability for Lurie control systems with multiple time-delays |
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| CHEN Dong-yan,LIU Wei-hua.Delay-dependent robust stability for Lurie control systems with multiple time-delays[J].Control Theory & Applications,2005,22(3):499-502. |
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| Authors: | CHEN Dong-yan LIU Wei-hua |
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| Affiliation: | Department of Information and Computation Science,Harbin University of Science and Technology,Heilongjiang Harbin 150080,China |
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| Abstract: | The stability condition of Lurie control systems with time-delay relates to the choice of Lyapunov function.In this paper,the system with multiple time-delays is transformed,then a suitable Lyapunov function is selected,the delay-dependent robust stability condition for Lurie control systems with multiple time-delays is obtained by applying Lyapunov stability method and associating with Moon's lemma,and the condition is given by a linear matrix inequality (LMI).Finally,the effectiveness of the condition is illustrated by an example. |
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| Keywords: | Lurie control systems with multiple time-delays Lyapunov function delay-dependent robust stability linear matrix inequality (LMI) |
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