| 一类具有时变时滞的中立型系统的稳定性分析 |
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| 引用本文： | 周阿敏,章春国,邱金学.一类具有时变时滞的中立型系统的稳定性分析[J].数学理论与应用,2012(4):42-51. |
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| 作者姓名： | 周阿敏 章春国 邱金学 |
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| 作者单位： | 杭州电子科技大学数学系,杭州310018 |
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| 摘 要： | 本文研究一类具有状态时滞和输入时滞的时变时滞线性中立型系统.首先,通过选取合适的Lya-punov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskii稳定性定理对时滞相关的系统进行稳定性分析,并设计了相应的控制器.改进了时不变时滞线性系统方面的一些结果.最后用实例验证所得到结果.
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| 关 键 词： | 时滞系统 Lyapunov-Krasovskii泛函 鲁棒稳定性 线性矩阵不等式(LMI) 反馈控制 |
Stability Analysis and Controller Design for a System with Time Delays |
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| Zhou Amin Zhang Chunguo Qiu Jinxue.Stability Analysis and Controller Design for a System with Time Delays[J].Mathematical Theory and Applications,2012(4):42-51. |
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| Authors: | Zhou Amin Zhang Chunguo Qiu Jinxue |
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| Institution: | Zhou Amin Zhang Chunguo Qiu Jinxue (Department of Mathematics, Hangzhou Dianzi University, Zhejiang Hangzhou 310018, China) |
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| Abstract: | This paper studies the linear neutral system with time - delays. Firstly, the stability of the system with time delays is studied by choosing a proper Lyapunov - Krasovskii functional, applying the Linear Matrix Inequality （ LMI）, and using the Lyapunov - Krasovskii stabilization theorem. And then a controller related to the system is designed. Some results on the linear neutral systems without time -delays are improved by our results. In the last part a numerical example is given to illustrate our theory. |
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| Keywords: | Time - delay System Lyapunov - Krasovskii Functional Robust Stability Linear Matrix Inequality （ LMI ） |
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