DIFFERENTIAL AND DIFFERENCE LYAPUNOV EQUATIONS - SIMULTANEOUS EIGENVALUE BOUNDS

被引：9

作者：

HMAMED, A

机构：

[1] Départment de Physique Faculté des Sciences, Université Sidé Mohammed Ben Abdellah, BP 1796, (Fes-Atlas)

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1990年 / 21卷 / 07期

关键词：

D O I：

10.1080/00207729008910455

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several simultaneous eigenvalue bounds for the solution of the differential and difference Lyapunov equations are presented. It is shown that, in certain cases, each bound is obtained as a solution of a simple scalar differential or difference equation. In the limiting case where the solution to the differential or the difference Lyapunov equation becomes stationary, some of the results reduce to several existing bounds for the algebraic equations. © 1990 Taylor & Francis Group, LLC.

引用

页码：1335 / 1344

页数：10

共 31 条

[1] EXTREME PROPERTIES OF EIGENVALUES OF A HERMITIAN TRANSFORMATION AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR TRANSFORMATIONS
AMIRMOEZ, AR
[J]. DUKE MATHEMATICAL JOURNAL, 1956, 23 (03) : 463 - 476
[2] BARNETT S, 1970, MATRIX METHODS STABI
[3] Coppel W., 1965, HEATH MATH MONOGRAPH
[4] ON A THEOREM OF WEYL CONCERNING EIGENVALUES OF LINEAR TRANSFORMATIONS .1.
FAN, K
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1949, 35 (11) : 652 - 655
[5] BOUNDS FOR THE EIGENVALUES OF THE SOLUTION OF THE DISCRETE RICCATI AND LYAPUNOV EQUATIONS AND THE CONTINUOUS LYAPUNOV EQUATION
GARLOFF, J
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1986, 43 (02) : 423 - 431
[6] HMAMED A, 1989, LESSI8905 RES REP
[7] HMAMED A, 1989, LESSI8902 RES REP
[8] ON THE SINGULAR VALUES OF A PRODUCT OF COMPLETELY CONTINUOUS OPERATORS
HORN, A
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1950, 36 (07) : 374 - 375
[9] EIGENVALUE BOUNDS FOR ALGEBRAIC RICCATI AND LYAPUNOV EQUATIONS
KARANAM, VR
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (02) : 461 - 463
[10] A NOTE ON EIGENVALUE BOUNDS IN ALGEBRAIC RICCATI EQUATION
KARANAM, VR
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (01) : 109 - 111

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