New estimates for the solution of the Lyapunov matrix differential equation
New estimates for the solution of the Lyapunov matrix differential equation
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DOI：
10.13001/1081-3810.1355
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发表时间：
2010
影响因子：
0.7
通讯作者：
Juan Zhang;Jianzhou Liu
中科院分区：
文献类型：
--
作者：
Juan Zhang;Jianzhou Liu
本文利用控制不等式得到了一类李雅普诺夫矩阵微分方程解的特征值（包括迹）和的上界。在极限情况下，结果归结为代数李雅普诺夫矩阵方程的界。数值例子说明了结果的有效性
In this paper, by using majorization inequalities, upper bounds on summations of eigenvalues (including the trace) of the solution for the Lyapunov matrix differential equation are obtained. In the limiting cases, the results reduce to bounds of the algebraic Lyapunov matrix equation. The effectiveness of the results are illustrated by numerical examples