On closed-form solutions to the generalized Sylvester-conjugate matrix equation

Ai Guo Wu; Enze Zhang; Fuchun Liu

doi:10.1016/j.amc.2012.03.020

On closed-form solutions to the generalized Sylvester-conjugate matrix equation

Ai Guo Wu
, Enze Zhang
, Fuchun Liu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

In this paper, several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given. The proposed solutions can provide all the degrees of freedom which are represented by a free parameter matrix. In addition, the approaches adopted in this paper do not require that the coefficient matrices are in any canonical forms.

Original language	English
Pages (from-to)	9730-9741
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	218
Issue number	19
DOIs	https://doi.org/10.1016/j.amc.2012.03.020
State	Published - 1 Jun 2012
Externally published	Yes

Keywords

Controllability matrix
Degrees of freedom
Generalized Sylvester-conjugate matrix equation
Observability matrix
Smith normal form

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10.1016/j.amc.2012.03.020

Cite this

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title = "On closed-form solutions to the generalized Sylvester-conjugate matrix equation",

abstract = "In this paper, several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given. The proposed solutions can provide all the degrees of freedom which are represented by a free parameter matrix. In addition, the approaches adopted in this paper do not require that the coefficient matrices are in any canonical forms.",

keywords = "Controllability matrix, Degrees of freedom, Generalized Sylvester-conjugate matrix equation, Observability matrix, Smith normal form",

author = "Wu, \{Ai Guo\} and Enze Zhang and Fuchun Liu",

year = "2012",

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doi = "10.1016/j.amc.2012.03.020",

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T1 - On closed-form solutions to the generalized Sylvester-conjugate matrix equation

AU - Wu, Ai Guo

AU - Zhang, Enze

AU - Liu, Fuchun

PY - 2012/6/1

Y1 - 2012/6/1

N2 - In this paper, several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given. The proposed solutions can provide all the degrees of freedom which are represented by a free parameter matrix. In addition, the approaches adopted in this paper do not require that the coefficient matrices are in any canonical forms.

AB - In this paper, several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given. The proposed solutions can provide all the degrees of freedom which are represented by a free parameter matrix. In addition, the approaches adopted in this paper do not require that the coefficient matrices are in any canonical forms.

KW - Controllability matrix

KW - Degrees of freedom

KW - Generalized Sylvester-conjugate matrix equation

KW - Observability matrix

KW - Smith normal form

UR - https://www.scopus.com/pages/publications/84860485305

U2 - 10.1016/j.amc.2012.03.020

DO - 10.1016/j.amc.2012.03.020

M3 - 文章

AN - SCOPUS:84860485305

SN - 0096-3003

VL - 218

SP - 9730

EP - 9741

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 19

ER -

On closed-form solutions to the generalized Sylvester-conjugate matrix equation

Abstract

Keywords

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