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| 变时滞中立系统的时滞依赖渐近稳定性分析 | |
| 引用本文： | 刘国彩,鞠培军 .变时滞中立系统的时滞依赖渐近稳定性分析[J].重庆师范大学学报(自然科学版),2011,28(2):48-51. |
| 作者姓名： | 刘国彩 鞠培军 |
| 作者单位： | 泰山学院数学与系统科学学院,山东,泰安,271021 |
| 摘 要： | 本文讨论了一类变时滞中立系统的时滞依赖渐近稳定性问题.通过利用Lyapunov-Krasovskii泛函(LKF)和自由权矩阵方法,得到了该系统渐近稳定性的时滞依赖新判据.交叉项间的联系由Leibniz-Newton公式给出.定理的推导没有利用模型转换和交叉项有界方法.由于结果以严格线性矩阵不等式形式给出,所以很容易验... |
| 关 键 词： | 渐近稳定性 线性矩阵不等式 Lyapunov-Krasovskii泛函 |
Delay-dependent Asymptotical Stability for Neutral System with Time-varying delays |
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| LIU Guo-cai,JU Pei-jun .Delay-dependent Asymptotical Stability for Neutral System with Time-varying delays [J].Journal of Chongqing Normal University:Natural Science Edition,2011,28(2):48-51. |
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| Authors: | LIU Guo-cai JU Pei-jun |
| Institution: | LIU Guo-cai,JU Pei-jun(Dept.of Mathematics and System Science,Taishan University,Tai'an Shandong 271021,China) |
| Abstract: | This paper concerns delay-dependent asymptotical stability for neutral systems with time-varying delays.Some new delay-dependent stability criteria are derived by taking a new Lyapunov-Krasovskii functional(LKF) and free weighting matrices.The relationship between the cross terms is derived in the Leibniz-Newton formula.Neither model transformation nor bounding technique for cross terms has been given to derive the criteria.The proposed stability criteria are given in terms of strict linear matrix inequalit... |
| Keywords: | asymptotical stability linear matrix inequality Lyapunov-Krasovskii functional |
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