Complete parametric solution to the matrix equation AV + BW = EVJ + R

Guang Ren Duan; Steve Thompson; Guo Ping Liu

Complete parametric solution to the matrix equation AV + BW = EVJ + R

Guang Ren Duan^*
, Steve Thompson
, Guo Ping Liu

^*Corresponding author for this work

Queen's University Belfast

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

The matrix equation AV+BW=EVJ+R is closely related to some basic design problems in linear systems theory. With matrices A, B, R and J given, and J in Jordan form, general complete parameterizations of all the matrices V and W are presented based on elementary matrix transformations.

Original language	English
Pages (from-to)	2742-2743
Number of pages	2
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
State	Published - 1999
Externally published	Yes
Event	The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: 7 Dec 1999 → 10 Dec 1999

Cite this

@article{c571380e23444caeadd3d8425ae103de,

title = "Complete parametric solution to the matrix equation AV + BW = EVJ + R",

abstract = "The matrix equation AV+BW=EVJ+R is closely related to some basic design problems in linear systems theory. With matrices A, B, R and J given, and J in Jordan form, general complete parameterizations of all the matrices V and W are presented based on elementary matrix transformations.",

author = "Duan, \{Guang Ren\} and Steve Thompson and Liu, \{Guo Ping\}",

year = "1999",

language = "英语",

volume = "3",

pages = "2742--2743",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "The 38th IEEE Conference on Decision and Control (CDC) ; Conference date: 07-12-1999 Through 10-12-1999",

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TY - JOUR

T1 - Complete parametric solution to the matrix equation AV + BW = EVJ + R

AU - Duan, Guang Ren

AU - Thompson, Steve

AU - Liu, Guo Ping

PY - 1999

Y1 - 1999

N2 - The matrix equation AV+BW=EVJ+R is closely related to some basic design problems in linear systems theory. With matrices A, B, R and J given, and J in Jordan form, general complete parameterizations of all the matrices V and W are presented based on elementary matrix transformations.

AB - The matrix equation AV+BW=EVJ+R is closely related to some basic design problems in linear systems theory. With matrices A, B, R and J given, and J in Jordan form, general complete parameterizations of all the matrices V and W are presented based on elementary matrix transformations.

UR - https://www.scopus.com/pages/publications/0033325012

M3 - 会议文章

AN - SCOPUS:0033325012

SN - 0743-1546

VL - 3

SP - 2742

EP - 2743

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - The 38th IEEE Conference on Decision and Control (CDC)

Y2 - 7 December 1999 through 10 December 1999

ER -

Complete parametric solution to the matrix equation AV + BW = EVJ + R

Abstract

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