| 具有离散时滞和分布时滞的中立型时滞系统的鲁棒稳定性 |
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| 引用本文： | 熊良林,钟守铭,田俊康.具有离散时滞和分布时滞的中立型时滞系统的鲁棒稳定性[J].数学研究及应用,2008,28(3):521-528. |
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| 作者姓名： | 熊良林 钟守铭 田俊康 |
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| 作者单位： | 电子科技大学应用数学学院,四川 成都 610054;电子科技大学应用数学学院,四川 成都 610054;电子科技大学应用数学学院,四川 成都 610054 |
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| 摘 要： | 本文研究了具有离散时滞和分布时滞的不确定中立型系统的鲁棒稳定性的问题,考查了可能随时间变化的具有范数有界的不确定性.在对Lyapunov-Krasovskii泛函求导数时,不进行放大估计,而通过引入恰当的零项,构造线性矩阵不等式,从而获得基于LMI的时滞相关稳定的新判据.最后的数值例子说明了所得的结论有效性.
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| 关 键 词： | 稳定性 离散时滞 分布时滞 中立型系统 线性矩阵不等式. |
| 收稿时间： | 2006/7/28 0:00:00 |
| 修稿时间： | 2007/1/19 0:00:00 |
The New Criteria Robust Stability of Uncertain Neutral Systems with Discrete and Distributed Delays |
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| XIONG Liang Lin,ZHONG Shou Ming and TIAN Jun Kang.The New Criteria Robust Stability of Uncertain Neutral Systems with Discrete and Distributed Delays[J].Journal of Mathematical Research with Applications,2008,28(3):521-528. |
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| Authors: | XIONG Liang Lin ZHONG Shou Ming and TIAN Jun Kang |
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| Affiliation: | School of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 610054, China |
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| Abstract: | The robust stability of uncertain linear neutral systems with discrete and distributed delays is investigated. The uncertainties under consideration are norm bounded, and possibly time varying. By means of the equivalent equation of zero in the derivative of the Lyapunov-Krasovskii function, the proposed stability criteria are formulated in the form of a linear matrix inequality and it is easy to check the robust stability of the considered systems. Numerical examples demonstrate that the proposed criteria are effective. |
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| Keywords: | stability discrete delay distributed delay neutral system linear matrix inequality (LMI) |
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