| 一类时滞系统的稳定性分析及控制器设计 |
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| 引用本文： | 邱金学,游成涛,章春国.一类时滞系统的稳定性分析及控制器设计[J].纯粹数学与应用数学,2012,28(3):391-400. |
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| 作者姓名： | 邱金学 游成涛 章春国 |
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| 作者单位： | 杭州电子科技大学数学系,浙江杭州,310018 |
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| 摘 要： | 研究一类具有状态时滞和输入时滞的时变时滞线性系统.首先,通过选取合适的Lyapunov-Krasovskii泛函,应用LMI方法和Lyapunov-Krasovskill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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| Qiu Jinxue,You Chengtao,Zhang Chunguo.Stability analysis and controller design for a system with time delays[J].Pure and Applied Mathematics,2012,28(3):391-400. |
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| Authors: | Qiu Jinxue You Chengtao Zhang Chunguo |
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| Institution: | (Deptartment of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China) |
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| Abstract: | This paper studies the linear system with time-varying state delays and time-varying input delays.First,it is analyzed stability of the system with time delays,by choosing a proper Lyapunov-Krasovskii functional,applying Linear matrix inequality(LMI),and using Lyapunov-Krasovskii stabilization theorem.And then,it is designed corresponding controller.It is improved that some result of linear system with time-varying delays.Finally,this result is checked by the numerical simulation. |
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| Keywords: | time-delay systems lyapunov-Krasovskii functional robust stability linear matrix inequality (LMI)~ feedback control |
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