| 变时滞模糊系统的鲁棒无源稳定性分析 |
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| 引用本文： | 王艳君,郗多明,杨丽芸,杨洪玖,仇计清.变时滞模糊系统的鲁棒无源稳定性分析[J].河北科技大学学报,2008,29(2):87-91,110. |
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| 作者姓名： | 王艳君 郗多明 杨丽芸 杨洪玖 仇计清 |
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| 作者单位： | 1. 河北科技大学理学院,河北石家庄,050018
2. 河北工程大学理学院,河北邯郸,056038 |
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| 摘 要： | 研究了变时滞非线性系统的鲁棒无源稳定性问题。首先,利用T-S模糊模型来描述这个非线性、时滞系统,通过构造适当的李亚普诺夫函数,利用线性矩阵不等式(LMI)的性质得到了关于这个问题的一个充分条件。这种基于线性矩阵不等式的充分条件可以通过求解线性矩阵不等式的控制工具箱得到数值结果。仿真结果表明,该方法是有效的。
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| 关 键 词： | 模糊系统 鲁棒无源稳定性 时滞 线性矩阵不等式 |
| 收稿时间： | 2007/12/14 0:00:00 |
| 修稿时间： | 2008/2/26 0:00:00 |
Robust passive stability for uncertain fuzzy systems with time-varying delay |
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| WANG Yan-jun,XI Duo-ming,YANG Li-yun,YANG Hong-jiu and QIU Ji-qing.Robust passive stability for uncertain fuzzy systems with time-varying delay[J].Journal of Hebei University of Science and Technology,2008,29(2):87-91,110. |
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| Authors: | WANG Yan-jun XI Duo-ming YANG Li-yun YANG Hong-jiu and QIU Ji-qing |
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| Institution: | College of Sciences, Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences,Hebei University of Engineering,Handan Hebei 056038,China;College of Sciences, Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences, Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China;College of Sciences, Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China |
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| Abstract: | This paper studies robust passive stability problems for time-varying delay non-linear systems through Takagi-Sugeno(T-S) fuzzy model approach.Based on Lyapunov-Krasovskii function,a sufficient condition in terms of linear matrix inequalities for the solvability of the problems is presented,which is dependent on the size of the delay.A numerical example is given to illustrate the effectiveness of the theoretical result. |
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| Keywords: | fuzzy systems robust passive stability time-varying delay linear matrix inequalities |
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