BOUNDS FOR THE EIGENVALUES OF THE SOLUTION OF THE UNIFIED ALGEBRAIC RICCATI MATRIX EQUATION

被引：8

作者：

MRABTI, M ^{[1
]}

BENSEDDIK, M ^{[1
]}

机构：

[1] FAC SCI FES ATLAS, DEPT PHYS, LOTI, DHAR EL MAHRAZ, BP 1796, FES, MOROCCO

来源：

SYSTEMS & CONTROL LETTERS | 1995年 / 24卷 / 05期

关键词：

UNIFIED RICCATI EQUATION; UNIFIED LYAPUNOV EQUATION; LOWER BOUNDS;

D O I：

10.1016/0167-6911(94)00048-Z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In recent years, several eigenvalues bounds have been investigated separately for the solutions of the continuous and the discrete Riccati and Lyapunov matrix equations. In this paper, lower bounds for the eigenvalues of the solution of the unified Riccati equation (relatively to continuous and discrete cases), are presented. In the limiting cases, the results reduce to some new bounds for both the continuous and discrete Riccati equation.

引用

页码：345 / 349

页数：5

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