| 基于LMI方法的中立型多时滞系统稳定性分析 |
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| 引用本文： | 江明辉,谢从满. 基于LMI方法的中立型多时滞系统稳定性分析[J]. 三峡大学学报(自然科学版), 2005, 27(6): 563-567 |
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| 作者姓名： | 江明辉 谢从满 |
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| 作者单位： | 三峡大学,理学院,湖北,宜昌,443000 |
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| 基金项目： | 国家自然科学基金(60074008,60474011)，湖北省自然科学基金资助项目(2004ABA055) |
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| 摘 要： | 利用李雅普若夫第二方法结合LMI（线性矩阵不等式）方法讨论了中立型时滞微分系统的渐近稳定性，获得了该系统零解渐近稳定的充分条件，同时得到了易于判断系统渐近稳定的时滞无关与时滞相关的LMI不等式．通过实例比较表明文中结论推广并改进了现有文献中的结论．
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| 关 键 词： | 中立型时滞系统 LMI方法 时滞依赖 渐近稳定 |
| 文章编号： | 1672-948X(2005)06-0563-05 |
| 修稿时间： | 2005-07-11 |
Stability Analysis Based on LMI Approach for Neutral Systems with Multi-delay |
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| Jiang Minghui,Xie Congman. Stability Analysis Based on LMI Approach for Neutral Systems with Multi-delay[J]. Journal of China Three Gorges University(Natural Sciences), 2005, 27(6): 563-567 |
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| Authors: | Jiang Minghui Xie Congman |
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| Abstract: | Asymptotic stability of neutral delay systems was discussed by the Lyapunov second method together with LMI(linear matrix inequality) approach,and sufficient conditions for the trivial solution of the systems were obtained.Meanwhile,LMI with delay-independence and delay-dependence,which were easy to judge asymptotic stability,were established.Examples show that the results in the paper generalize the results in existing references. |
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| Keywords: | neutral delay systems LMI approach delay-dependence asymptotic |
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