引用本文:徐炳吉,廖晓昕,刘新芝.具有多状态和控制时滞的控制系统的绝对稳定性分析[J].控制理论与应用,2002,19(6):927~931.[点击复制]
XU Bing-ji 1, 1, (1.Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074,China; 2.Deptartment of Applied Mathematics, University of Waterloo, Waterloo, Canada),LIAO Xiao-xin,LIU Xin-zhi 1,2.Absolute stability analysis for control systems with multiple time-varying delays in both state and control input[J].Control Theory and Technology,2002,19(6):927~931.[点击复制]
具有多状态和控制时滞的控制系统的绝对稳定性分析
Absolute stability analysis for control systems with multiple time-varying delays in both state and control input
摘要点击 2378  全文点击 1308  投稿时间：2001-03-19  修订日期：2002-01-09
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DOI编号  10.7641/j.issn.1000-8152.2002.6.023
  2002,19(6):927-931
中文关键词  时滞  绝对稳定性  线性矩阵不等式
英文关键词  time delay  absolute stability  linear matrix inequality (LMI)
基金项目  国家自然科学基金(60074008); 高校博士点基金(20010487005)资助项目.
作者单位
徐炳吉 华中科技大学 控制科学与工程系, 武汉 430074 
廖晓昕 华中科技大学 控制科学与工程系, 武汉 430074 
刘新芝 华中科技大学 控制科学与工程系, 武汉 430074
滑铁卢大学 应用数学系, 加拿大 滑铁卢 
中文摘要
      基于线性矩阵不等式方法, 对具有多个状态和控制的时变时滞的Lurie型控制系统的稳定性进行分析, 得到了系统绝对稳定的几个充分条件, 这些条件用线性矩阵不等式表示, 具有较低的保守性. 最后通过一个实例验证了所得条件的保守性较以往结果的保守性小.
英文摘要
      Based on the linear matrix inequality (LMI) approach, this paper analyzes the absolute stability of Lurie type control systems with multiple time-varying delays in both state and control input. Several sufficient conditions for the absolute stability of such systems are obtained. The derived sufficient conditions are expressed in terms of LMI to find the less conservative criteria. Finally, a numerical example is given to demonstrate that the derived conditions are less conservative than that \{given\} in the literature.