New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation

被引：7

作者：

Ulukok, Zubeyde ^{[1
]}

Turkmen, Ramazan ^{[1
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, Konya, Turkey

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 10期

关键词：

ROBUST STABILITY; TIME-SYSTEMS; TRACE BOUNDS; EIGENVALUES;

D O I：

10.1016/j.jfranklin.2013.06.018

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 this paper, new upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) are derived by means of some matrix inequalities and linear algebraic techniques. Furthermore, for the derived each bound, iterative algorithms are developed to obtain sharper solution estimates. Comparing with some appearing results in the literature, the presented bounds are less restrictive and more efficient. Finally, numerical examples are given to illustrate the effectiveness of the proposed results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3417 / 3431

页数：15

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