引用本文:张端金, 杨　苹, 吴　捷.基于Delta算子的统一代数Lyapunov方程解的上下界[J].控制理论与应用,2004,21(1):94~96.[点击复制]
ZHANG Duan-jin, YANG Ping, WU Jie.Matrix bounds for the solution of the unified algebraic Lyapunov equation using Delta operator[J].Control Theory and Technology,2004,21(1):94~96.[点击复制]
基于Delta算子的统一代数Lyapunov方程解的上下界
Matrix bounds for the solution of the unified algebraic Lyapunov equation using Delta operator
摘要点击 1768  全文点击 1880  投稿时间：2002-11-11  修订日期：2003-04-28
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DOI编号  10.7641/j.issn.1000-8152.2004.1.019
  2004,21(1):94-96
中文关键词  Lyapunov方程  Delta算子  矩阵的界
英文关键词  Lyapunov equation  Delta operator  matrix bound
基金项目  河南省自然科学基金项目(0311011600); 河南省高校青年骨干教师资助计划项目([2003]100).
作者单位
张端金, 杨　苹, 吴　捷 郑州大学 信息工程学院,河南 郑州 450052
华南理工大学 电力学院,广东 广州 510640 
中文摘要
      基于Delta算子描述,统一研究了连续代数Lyapunov方程(CALE)和离散代数Lyapunov方程(DALE)的定界估计问题.采用矩阵不等式方法,给出了统一的代数Lyapunov方程(UALE)解矩阵的上下界估计,在极限情形下可分别得到CALE和DALE的估计结果.计算实例表明了本文方法的有效性.
英文摘要
      The estimation problem of matrix bounds for the continuous algebraic Lyapunov equation (CALE) and the discrete algebraic Lyapunov equation (DALE) could be considered by unified approach using delta operator. The upper and lower matrix bounds for the solution of the unified algebraic Lyapunov equation (UALE) are presented in terms of matrix inequality approach, and the obtained bounds reduce to existing ones for the continuous and discrete Lyapunov equations in the limiting cases. The proposed results are illustrated through an example.