引用本文:毛维杰.区间矩阵二次稳定的充分必要条件[J].控制理论与应用,2003,20(6):955~958.[点击复制]
MAO Wei-jie.Necessary and sufficient condition for quadratic stability of interval matrices[J].Control Theory and Technology,2003,20(6):955~958.[点击复制]
区间矩阵二次稳定的充分必要条件
Necessary and sufficient condition for quadratic stability of interval matrices
摘要点击 1481  全文点击 1038  投稿时间：2002-01-15  修订日期：2002-11-20
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DOI编号  
  2003,20(6):955-958
中文关键词  区间矩阵  二次稳定性  稳定裕度  线性矩阵不等式(LMI)
英文关键词  interval matrices  quadratic stability  stability margin  linear matrix inequality (LMI)
基金项目  国家自然科学基金项目(60004002); 浙江省自然科学基金项目(602055).
作者单位E-mail
毛维杰 浙江大学 工业控制技术国家重点实验室 先进控制研究所, 浙江 杭州 310027 毛维杰wjmao@iipc.edu.cn. 
中文摘要
      提出了区间矩阵二次稳定的充分必要条件,以及相应的稳定裕度的计算方法.结论以线性矩阵不等式(LMI)的形式给出.利用功能强大的LMI工具,求解非常方便.所给实例表明,该方法用于确定区间矩阵的鲁棒稳定性及其稳定裕度,非常有效.
英文摘要
       A necessary and sufficient condition was presented for the quadratic stability of interval matrices and a related calculation method of stability margin. The results were obtained in terms of LMIs. With the powerful LMI toolbox, it was very convenient to solve this problem. Examples showed that this method is effective in determining the robust stability and related stability margin of interval matrices.