| 时滞随机系统的时滞相关稳定性 |
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| 引用本文： | 刘坤,刘贺平,赵立英.时滞随机系统的时滞相关稳定性[J].北京科技大学学报,2009,31(4). |
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| 作者姓名： | 刘坤 刘贺平 赵立英 |
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| 作者单位： | 1. 北京科技大学信息工程学院,北京,100083
2. 北京科技大学应用科学学院,北京,100083 |
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| 基金项目： | 国家自然科学基金资助项目(No.60374032) |
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| 摘 要： | 将自由权矩阵思想推广到一类时滞随机系统中,研究了其时滞相关稳定性问题.通过构造新的Lyapunov函数,引入适当的自由权矩阵,推导出系统渐近稳定的时滞相关的充分条件.所得结果完全基于线性矩阵不等式的形式给出,不需要对原系统模型进行变换.数值算例说明了方法的可行性.
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| 关 键 词： | 随机系统 时滞相关 自由权矩阵 线性矩阵不等式 |
Delay-dependent stability of stochastic systems with time-varying delays |
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| LIU Kun,LIU He-ping,ZHAO Li-ying.Delay-dependent stability of stochastic systems with time-varying delays[J].Journal of University of Science and Technology Beijing,2009,31(4). |
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| Authors: | LIU Kun LIU He-ping ZHAO Li-ying |
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| Abstract: | The idea of free-weighting matrices was extended to a class of stochastic systems with time-varying delays,and the delay-dependent stability of the stochastic systems was studied.By establishing a new Lyapunov function and introducing appropriate free-weighting matrices,a sufficient delay-dependent condition was proposed for the asymptotic stability of such a system.The result was in the form of linear matrix inequalities completely and model transformation was unnecessary.Two examples were given to illustr... |
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