Lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation

被引：2
|
作者：
Zhang, Juan [1 ,2 ]
Liu, Jianzhou [2 ]
Li, Quanbing [2 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
[2] Xiangtan Univ, Dept Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2017年 / 34卷 / 03期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
matrix differential equation; majorization inequality; eigenvalue; bounds; time-varying; ALGEBRAIC RICCATI EQUATION; PRODUCT; TRACE;
D O I：
10.1093/imamci/dnw008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The Lyapunov matrix differential equation has widely applications in control theory and linear system. In this paper, applying the properties of exponential matrices and integrable functions, we obtain lower bounds on eigenvalue summation for the solution of this equation using eigenvalue inequalities and majorization inequalities. Finally, we give a corresponding numerical example to show the effectiveness of the derived bounds.
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页码：987 / 998
页数：12
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