DISCRETE LYAPUNOV EQUATION - SIMULTANEOUS EIGENVALUE LOWER BOUNDS

被引：16

作者：

HMAMED, A

机构：

[1] L.E.S.S.I., Département de Physique, Fes-Atlas

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1991年 / 22卷 / 06期

关键词：

D O I：

10.1080/00207729108910685

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Some lower bounds for the eigenvalues and certain sums and products of the eigenvalues of the solution of the discrete Lyapunov matrix equation are presented. These bounds are stronger than the majority of the relevant bounds shown in the literature. They complete some known bounds such as the extremal eigenvalues, the determinant and the trace of the solution of the above equation.

引用

页码：1121 / 1126

页数：6

共 50 条

[31] Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system
Liu Jianzhou
Zhang Juan
Li Quanbing
INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (05) : 1115 - 1126
[32] New lower matrix bounds for the solution of the continuous algebraic Lyapunov equation
Davies, Richard
Shi, Peng
Wiltshire, Ron
ASIAN JOURNAL OF CONTROL, 2008, 10 (04) : 449 - 455
[33] EIGENVALUE BOUNDS IN THE LYAPUNOV AND RICCATI MATRIX EQUATIONS
NICHOLSON, DW
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (06) : 1290 - 1291
[34] EIGENVALUE BOUNDS FOR ALGEBRAIC RICCATI AND LYAPUNOV EQUATIONS
KARANAM, VR
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (02) : 461 - 463
[35] LOWER BOUNDS FOR THE STABILITY MARGIN OF DISCRETE TWO-DIMENSIONAL SYSTEMS BASED ON THE TWO-DIMENSIONAL LYAPUNOV EQUATION
AGATHOKLIS, P
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (06): : 745 - 749
[36] New upper and lower bounds on the solution of discrete Riccati and Lyapunov matrix equations
Lee, Chien-Hua, 1600, Chinese Institute of Electrical Engineering, Taipei, Taiwan (02):
[37] Upper and lower bounds of the solutions of the discrete algebraic Riccati and Lyapunov matrix equations
Lee, CH
INTERNATIONAL JOURNAL OF CONTROL, 1997, 68 (03) : 579 - 598
[38] On the eigenvalue estimation for solution to Lyapunov equation
Yang Xingdong
Ding Zhiying
Zhang Jiajing
Sun Suya
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) : 6974 - 6980
[39] On lower bounds of the solution of the discrete time algebraic Riccati equation
Chen Dongyan
Bi Haiyun
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 565 - +
[40] LOWER BOUNDS FOR THE TRACE OF THE SOLUTION OF THE DISCRETE ALGEBRAIC RICCATI EQUATION
KIM, SW
PARK, PG
KWON, WH
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (02) : 312 - 314

← 1 2 3 4 5 →