| 一类滞后型区间Lurie系统的鲁棒绝对稳定性分析 |
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| 引用本文： | 张晓娇,王汝凉,温彦超.一类滞后型区间Lurie系统的鲁棒绝对稳定性分析[J].广西师范学院学报(自然科学版),2007,24(3):21-25. |
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| 作者姓名： | 张晓娇 王汝凉 温彦超 |
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| 作者单位： | 1. 广西师范学院,数学与计算机科学系,广西,南宁,530001
2. 广西师范学院,信息技术系,广西,南宁,530001 |
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| 基金项目： | 国家自然科学基金(60064002)，广西自然科学基金(0640073,0679021,0679024) |
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| 摘 要： | 讨论了一类滞后型多非线性区间系统的鲁棒绝对稳定性,通过引入区间矩阵,以及利用线性矩阵不等式和Lyapunov稳定性理论,给出了滞后型直接控制系统与间接控制系统鲁棒绝对稳定性的判别条件,推广了文献中马克茂等人的结论.所得的结果以线性矩阵不等式的形式给出,使计算方便.
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| 关 键 词： | 区间系统 鲁棒绝对稳定 时滞 |
| 文章编号： | 1002-8743（2007）03-0021-05 |
| 收稿时间： | 2007-05-09 |
| 修稿时间： | 2007年5月9日 |
Robust Absolute Stability Analysis for A Class of Delay Time Interval Lurie Systems |
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| ZHANG Xiao-jiao,WANG Ru-liang,WEN Yan-chao.Robust Absolute Stability Analysis for A Class of Delay Time Interval Lurie Systems[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2007,24(3):21-25. |
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| Authors: | ZHANG Xiao-jiao WANG Ru-liang WEN Yan-chao |
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| Institution: | a. Department of Mathematics and Computer Science; b. Department of Information Technology, Guangxi Teachers Education University, Nanning 530001, China |
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| Abstract: | The robust stability of a class of multiple nonlinear interval systems with delay time is discussed in this paper.Through the interval matrices,linear matrix inequality and Lyapunov stability theory are used to give the decision condition of robust stability for both delay time direct and indirect control systems,which extends the conclusion of reference.The results obtained are given by the form of linear matrix inequality and easy to computer. |
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| Keywords: | interval system robust absolute stability time delay |
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