| 基于Delta算子的统一代数Lyapunov方程解的上下界 |
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| 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. |
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| 作者姓名： | 张端金 杨 苹 吴 捷 |
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| 作者单位： | 1. 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
2. 华南理工大学,电力学院,广东,广州,510640 |
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| 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). |
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| 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.
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| 关 键 词： | Lyapunov方程 Delta算子 矩阵的界 |
| 文章编号： | 1000-8152(2004)01-0094-03 |
| 收稿时间： | 2002/11/11 0:00:00 |
| 修稿时间： | 2003/4/28 0:00:00 |
Matrix bounds for the solution of the unified algebraic Lyapunov equation using Delta operator |
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| ZHANG Duan-jin,YANG Ping,WU Jie.Matrix bounds for the solution of the unified algebraic Lyapunov equation using Delta operator[J].Control Theory & Applications,2004,21(1):94-96. |
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| Authors: | ZHANG Duan-jin YANG Ping WU Jie |
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| Affiliation: | College of Information Engineering, Zhengzhou University, Henan Zhengzhou 450052, China; Electric Power College, South China University of Technology, Guangdong Guangzhou 510640, China |
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| Abstract: | 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. |
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| Keywords: | Lyapunov equation Delta operator matrix bound |
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