| 时滞随机系统的稳定性分析 |
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| 引用本文： | 刘宝晶,赵立英. 时滞随机系统的稳定性分析[J]. 计算技术与自动化, 2010, 29(2): 5-7 |
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| 作者姓名： | 刘宝晶 赵立英 |
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| 作者单位： | 北京科技大学,应用科学学院,北京,100083 |
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| 基金项目： | 北京科技大学校基金项目 |
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| 摘 要： | 针对一类时变时滞随机系统,研究其渐近稳定性问题。通过构造李亚普诺夫函数,引用适当的自由权矩阵,利用积分等式、积分不等式,给出系统渐进稳定的时滞相关的充分条件,其结果用线性矩阵不等式形式表示.用数值算例说明方法的有效性。
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| 关 键 词： | 随机系统 时滞 自由权矩阵 线性矩阵不等式 |
Stability Analysis of Time-delay Stochastic Systems |
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| LIU Bao jing and ZHAO Li ying. Stability Analysis of Time-delay Stochastic Systems[J]. Computing Technology and Automation, 2010, 29(2): 5-7 |
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| Authors: | LIU Bao jing and ZHAO Li ying |
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| Affiliation: | (School of Applied Science,University of Science and Technology Beijing,Beijing 100083,China) |
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| Abstract: | For a class of stochastic systems with time-varying delays,the problem of asymptotic stability of system is discussed.By establishing a new Lyapunov function and introducing appropriate free-weighting matrices,employing the integral inequality and equality,a sufficient delay-dependent condition is proposed for the asymptotic stability of such a system.The result is based on LMIs.Finally,an example is given to illustrate the effectiveness of the proposed method. |
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| Keywords: | stochastic system delay-dependent free-weighting matrices linear matrix inequalities |
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