| 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.[点击复制] |
| CHEN Dong-yan, LIU Wei-hua.Delay-dependent robust stability for Lurie control systems with multiple time-delays[J].Control Theory and Technology,2005,22(3):499~502.[点击复制] |
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| 多时滞Lurie控制系统的时滞相关鲁棒稳定性 |
| Delay-dependent robust stability for Lurie control systems with multiple time-delays |
| 摘要点击 1744 全文点击 1453 投稿时间：2003-05-06 修订日期：2004-09-17 |
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| DOI编号 |
| 2005,22(3):499-502 |
| 中文关键词 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 |
| 英文关键词 Lurie control systems with multiple time-delays Lyapunov function delay-dependent robust stability linear matrix inequality (LMI) |
| 基金项目 国家自然科学基金资助项目(10471031). |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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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