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区间中立型系统时滞依赖鲁棒稳定性的LMI方法

杨瑞 黄天民

杨瑞, 黄天民. 区间中立型系统时滞依赖鲁棒稳定性的LMI方法[J]. 西南交通大学学报, 2008, 21(2): 232-237.
引用本文: 杨瑞, 黄天民. 区间中立型系统时滞依赖鲁棒稳定性的LMI方法[J]. 西南交通大学学报, 2008, 21(2): 232-237.
YANG Rui, HUANG Tianmin. LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 232-237.
Citation: YANG Rui, HUANG Tianmin. LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 232-237.

区间中立型系统时滞依赖鲁棒稳定性的LMI方法

基金项目: 

国家自然科学基金资助项目(60474022)

教育部博士点专项基金资助项目(20060613007)

详细信息
    作者简介:

    杨瑞(1980- ),女,博士研究生,研究方向为鲁棒控制,不确定时滞系统,广义系统等,E-mail:yrhappy2004@126.com

    通讯作者:

    黄天民(1958- ),男,教授,博士,主要研究方向为模糊控制、智能控制及非线性控制,E-mail:tmhuang@home.swjtu.edu.cn

LMI Approach for Delay-Dependent Robust Stability of Interval Neutral Systems

  • 摘要: 为了解决现有方法计算困难的问题,将LMI方法用于一类区间中立型系统的鲁棒稳定性分析.定义了一个新的Lyapunov-Krasovskii泛函,引入自由权矩阵表示Leibniz-Newton公式中各项相互关系,得到了线性矩阵不等式(LMIs)形式的时滞依赖鲁棒稳定判据.该判据将区间中立型系统的鲁棒稳定性问题转化为一类LMIs的可解问题.算例表明,所得结果提高了数值的边界,具有更小的保守性.

     

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出版历程
  • 收稿日期:  2007-12-23
  • 刊出日期:  2008-04-25

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