| 一类线性时变时滞系统的状态反馈控制设计及稳定性研究 |
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| 引用本文： | 王艳华,王志飞,王笑岩.一类线性时变时滞系统的状态反馈控制设计及稳定性研究[J].辽宁师专学报(自然科学版),2014,16(3):1-3. |
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| 作者姓名： | 王艳华 王志飞 王笑岩 |
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| 作者单位： | 朝阳师专,辽宁朝阳,122000 |
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| 摘 要： | 研究了一类时变时滞系统的稳定性,首先设计状态反馈控制器,其次应用线性矩阵不等式(LMI)技术,根据李雅普诺夫(Lyapunov)稳定性理论,得出控制器增益和系统渐近稳定的条件,最后通过数值实例说明方法的有效性.
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| 关 键 词： | 时变时滞 线性矩阵不等式 Lyapunov稳定性 |
A symptotic stability and the design of state feedback controller for a class of time-varying delay linear systems |
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| WANG Yan-hua,WANG Zhi-fei,WANG Xiao-yan.A symptotic stability and the design of state feedback controller for a class of time-varying delay linear systems[J].Journal of Liaoning Teachers College(Natural Science Edition),2014,16(3):1-3. |
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| Authors: | WANG Yan-hua WANG Zhi-fei WANG Xiao-yan |
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| Institution: | (Chaoyang Teachers College, Chaoyang Liaoning 122000) |
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| Abstract: | The stability of a class of time varying delay system is researched by designing the state feedback controller and subsequently by using the linear matrix inequality （LMI） technique. Based on Lyapunov stability theory （Lyapunov）, the conditions of system stability and control gain will be obtained. Finally, the numerical example shows the effectiveness of this method. |
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| Keywords: | time-varying delays linear matrix inequation the stability of Lyapunov |
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