| 改进的时变时滞中立型系统的绝对稳定性判据 |
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| 引用本文： | 刘健辰,章兢,张红强,何敏.改进的时变时滞中立型系统的绝对稳定性判据[J].控制与决策,2011,26(7):1026-1030. |
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| 作者姓名： | 刘健辰 章兢 张红强 何敏 |
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| 作者单位： | 1. 湖南大学电气与信息工程学院,长沙,410082
2. 湖南科技大学信息与电气工程学院,湖南湘潭,411201 |
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| 基金项目： | 国家自然科学基金重点项目(60634020) |
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| 摘 要： | 研究具有时变时滞和扇区有界非线性的中立型系统的绝对稳定性问题.根据时变时滞分段分析思想,构造一个新的Lyapunov-Krasovskii泛函,得到了一些保守性更小的基于线性矩阵不等式的时滞相关绝对稳定性判据.采用凸组合方法,可以避免忽略Lyapunov-Krasovskii泛函微分中的有用项.数值算例表明了所提出方法的有效性.
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| 关 键 词： | 绝对稳定性 中立型系统 时变时滞 时滞相关 线性矩阵不等式 |
| 收稿时间： | 2010/4/8 0:00:00 |
| 修稿时间： | 2010/6/30 0:00:00 |
Improved absolute stability criteria for neutral systems with time-varying delay |
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| LIU Jian-chen,ZHANG Jing,ZHANG Hong-qiang,HE Min.Improved absolute stability criteria for neutral systems with time-varying delay[J].Control and Decision,2011,26(7):1026-1030. |
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| Authors: | LIU Jian-chen ZHANG Jing ZHANG Hong-qiang HE Min |
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| Affiliation: | LIU Jian-chen~1,ZHANG Jing~1,ZHANG Hong-qiang~2,HE Min~1 (1.College of Electrical and Information Engineering,Hu'nan University,Changsha 410082,China,2.School of Information and Electrical Engineering,Hu'nan University of Science and Technology,Xiangtan 411201,China. |
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| Abstract: | This paper investigates the problem of the absolute stability of neutral systems with a time-varying delay and sector-bounded nonlinearity.By constructing a novel Lyapunov-Krasovskii functional based on the piecewise analysis method for the time-varying delay systems,less conservative delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities without ignoring any useful terms in the derivative of a Lyapunov-Krasovskii functional by using the convex combination meth... |
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| Keywords: | absolute stability neutral system time-varying delay delay-dependent linear matrix inequality |
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