| 含区间时变时滞的线性不确定系统鲁棒稳定性新判据 |
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| 引用本文： | 李涛 张合新 孙鹏. 含区间时变时滞的线性不确定系统鲁棒稳定性新判据[J]. 控制与决策, 2010, 25(6): 953-957 |
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| 作者姓名： | 李涛 张合新 孙鹏 |
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| 作者单位： | 第二炮兵工程学院自动化系,西安,710025 |
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| 摘 要： | 研究一类区间时变时滞线性不确定系统的鲁棒稳定性问题.通过引入增广Lyapunov泛函,结合积分不等式方法,导出了区间时变时滞线性系统的时滞相关鲁棒稳定性新判据.与现有方法不同,该方法不涉及自由权矩阵技术和任何模型变换,减少了理论和计算上的复杂性,而且在估计Lyapunov泛函导数的上界时没有忽略某些有用项.数值算例表明,所提出的判据是有效的,具有更低的保守性.
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| 关 键 词： | 增广Lyapunov泛函 区间时滞 鲁棒稳定 线性矩阵不等式 积分不等式 |
| 收稿时间： | 2009-05-30 |
| 修稿时间： | 2009-06-29 |
New robust stability criteria for uncertain linear systems with interval time-varying delay |
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| LI Tao,ZHANG He-xin,SUN Peng. New robust stability criteria for uncertain linear systems with interval time-varying delay[J]. Control and Decision, 2010, 25(6): 953-957 |
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| Authors: | LI Tao ZHANG He-xin SUN Peng |
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| Affiliation: | LI Tao,ZHANG He-xin,SUN Peng Department of Automation,Second Artillery Engineering College,Xi'an 710025,China. |
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| Abstract: | The robust stability of linear system with interval time-varying delay is investigated.A delay-dependent robust stability criteria for linear system with interval time-varying delay is derived by using an augmented Lyapunov functional combined with the integral inequality approach.Unlike existing methodologies,the proposed approach involves neither freeweighting matrix nor any model transformation,so that it can reduce the complexity both in theory and in computation.And this approach doesn't ignore some us... |
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| Keywords: | Augmented Lyapunov functional|Interval delay|Robust stability|Linear matrix inequality (LMI)|Integral inequality |
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