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

作　　者：张端金[1] 杨苹[2] 吴捷[2] 

机构地区：[1]郑州大学信息工程学院,河南郑州450052 [2]华南理工大学电力学院,广东广州510640

出　　处：《控制理论与应用》2004年第1期94-96,共3页Control Theory & Applications

基　　金：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).

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.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.

关 键 词：连续代数Lyapunov方程 方程解 DELTA算子 定界估计 控制理论 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]