| 一类含离散与分布时滞的奇异系统的鲁棒稳定性 |
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| 引用本文： | 张瑞,焦建民.一类含离散与分布时滞的奇异系统的鲁棒稳定性[J].江南大学学报(自然科学版),2009,8(4):480-483. |
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| 作者姓名： | 张瑞 焦建民 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721013 |
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| 基金项目： | 宝鸡文理学院重点科研计划项目 |
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| 摘 要： | 讨论了一类含离散与分布时滞的不确定奇异系统的时滞相关鲁棒稳定性.基于Lyapunov稳定性理论, 利用线性矩阵不等式处理方法, 通过在Lyapunov-Krasovskii泛函的导数中适当地引入一些自由矩阵, 获得了系统时滞相关鲁棒稳定充分条件.数值例子表明所得结果是有效的.
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| 关 键 词： | 奇异系统 时滞相关 鲁棒稳定 线性矩阵不等式 |
Robust Stability for a Class of Singular Systems with Discrete and Distributed Delays |
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| ZHANG Rui,JIAO Jian-min.Robust Stability for a Class of Singular Systems with Discrete and Distributed Delays[J].Journal of Southern Yangtze University:Natural Science Edition,2009,8(4):480-483. |
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| Authors: | ZHANG Rui JIAO Jian-min |
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| Institution: | Department of Mathematics;Baoji University of Arts and Sciences;Baoji 721013;China |
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| Abstract: | The delay-dependent robust stability for a class of singular systems with discrete and distributed delays is discussed.Based on Lyapunov stability theory and by using linear matrix inequality(LMI) approach,a new delay-dependent stability sufficient condition is obtained by appropriately introducing some free matrices in the derivative of the Lyapunov-Krasovskii function.The simulation results illustrate the effectiveness of the proposed methods. |
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| Keywords: | singular system delay-dependent robust stability linear matrix inequality |
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