| 中立型Lurie控制系统的时滞相关鲁棒绝对稳定性判据 |
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| 引用本文： | 田俊康,钟守铭,熊良林. 中立型Lurie控制系统的时滞相关鲁棒绝对稳定性判据[J]. 数学研究及应用, 2008, 28(3): 713-719. DOI: 10.3770/j.issn.1000-341X.2008.03.039 |
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| 作者姓名： | 田俊康 钟守铭 熊良林 |
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| 作者单位： | 西南石油大学理学院, 四川 南充 637100; 电子科技大学应用数学学院, 四川 成都 614004;西南石油大学理学院, 四川 南充 637100;西南石油大学理学院, 四川 南充 637100 |
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| 摘 要： | 本文讨论了具有时滞控制的中立型Lurie控制系统的与时滞相关鲁棒绝对稳定性问题.其方法是Lyapunov泛函方法,在处理V函数的导数时,没有进行放大估计,而通过引入一些恰当的0项,构造多个LMI，从而获得基于多个LMI的时滞相关稳定的充分条件和鲁棒绝对稳定的充分条件.最后用数值例子说明其所得结论的有效性．
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| 关 键 词： | Lurie控制系统 绝对稳定性 线性矩阵不等式 时滞相关. |
| 收稿时间： | 2006-05-07 |
| 修稿时间： | 2007-03-23 |
Delay-Dependent Robust Stability Criteria for Neutral Lurie Control Systems |
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| TIAN Jun Kang,ZHONG Shou Ming and XIONG Liang Lin. Delay-Dependent Robust Stability Criteria for Neutral Lurie Control Systems[J]. Journal of Mathematical Research with Applications, 2008, 28(3): 713-719. DOI: 10.3770/j.issn.1000-341X.2008.03.039 |
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| Authors: | TIAN Jun Kang ZHONG Shou Ming XIONG Liang Lin |
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| Affiliation: | 1. College of Science, Southwest Petroleum University, Sichuan 637100, China;School of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 610054, China
2. College of Science, Southwest Petroleum University, Sichuan 637100, China |
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| Abstract: | This paper deals with delay-dependent robust stability of neutral Lurie control systems with multiple nonlinearities and time-varying structured uncertainties. The Lyapunov functional method is used. By adding some appropriate zero terms to the deviation of $V$ and constructing some linear matrix inequalities, some sufficient conditions for the delay-dependent absolute stability and robust stability are derived. Finally, a numerical example is presented to illustrate the effectiveness of the method. |
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| Keywords: | Lurie control systems absolute stability linear matrix inequalities delay-dependent. |
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