| Lurie时滞系统绝对稳定的时滞相关条件 |
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| 引用本文： | 刘轩.Lurie时滞系统绝对稳定的时滞相关条件[J].韩山师范学院学报,2011(6):29-33. |
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| 作者姓名： | 刘轩 |
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| 作者单位： | 韩山师范学院基础教育师资系 |
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| 摘 要： | 讨论了具有控制时滞的Lurie系统在非线性项满足有限扇形区域条件下的绝对稳定性．依据Lyapunov稳定性理论，构造一个适当的Lyapunov泛函，利用线性矩阵不等式的方法，通过一个积分不等式获得了系统绝对稳定的时滞相关条件．并应用schur补引理将以上结果推广到了具有范数有界的不确定Lurie时滞系统，得到了系统鲁棒...
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| 关 键 词： | Lurie控制系统 绝对稳定 时滞相关 线性矩阵不等式 |
DELAY-DEPENDENT CONDITIONS FOR THE ABSOLUTE STABILITY OF LURIE CONTROL SYSTEMS WITH TIME DELAYS |
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| LIU Xuan.DELAY-DEPENDENT CONDITIONS FOR THE ABSOLUTE STABILITY OF LURIE CONTROL SYSTEMS WITH TIME DELAYS[J].Journal of Hanshan Teachers College,2011(6):29-33. |
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| Authors: | LIU Xuan |
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| Institution: | LIU Xuan(Department of Basic Education,Han Shan Normal University,Chaozhou 521041,china) |
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| Abstract: | The absolute stability of Lurie systems with control time-delays and finite sector-bounded nonlinearity is discussed.Based on Lyapunov stability theory,by constructing a suitable Lyapunov-krasovskii functional and with linear matrix inequality(LMI) as research means,delay-dependent conditions of the abso-lute stability for Lurie systems are obtained by an integral inequality.Then,using Schur complement lemma,delay-dependent sufficient condition for the absolute stability of uncertain time-delays Lurie control system with norm bounded is obtained by extending above result. |
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| Keywords: | Lurie control system absolute stability delay-dependent linear matrix inequality(LMI) |
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