Solution to high-order generalized sylvester matrix equations

Guang Ren Duan

doi:10.1109/CDC.2005.1583330

Solution to high-order generalized sylvester matrix equations

Guang Ren Duan^*

^*Corresponding author for this work

School of Astronautics

IEEE

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Scopus citations

Abstract

This paper provides a complete general parametric solution (V, W) to the high-order generalized Sylvester matrix equation Σ_i=0 ^m A_iVFⁱ = BW, with F being an arbitrary square matrix. The primary feature of this solution is that the matrix F does not need to be in any canonical form, or may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems involving high-order dynamical systems.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	7247-7252
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1583330
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Access to Document

10.1109/CDC.2005.1583330

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Duan, G. R. (2005). Solution to high-order generalized sylvester matrix equations. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 7247-7252). Article 1583330 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583330

@inproceedings{5d5e874ba02948bea41eb636cbe12b67,

title = "Solution to high-order generalized sylvester matrix equations",

abstract = "This paper provides a complete general parametric solution (V, W) to the high-order generalized Sylvester matrix equation Σi=0 m AiVFi = BW, with F being an arbitrary square matrix. The primary feature of this solution is that the matrix F does not need to be in any canonical form, or may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems involving high-order dynamical systems.",

author = "Duan, \{Guang Ren\}",

year = "2005",

doi = "10.1109/CDC.2005.1583330",

language = "英语",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "7247--7252",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Duan, GR 2005, Solution to high-order generalized sylvester matrix equations. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1583330, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 7247-7252, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583330

Solution to high-order generalized sylvester matrix equations. / Duan, Guang Ren.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 7247-7252 1583330 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This paper provides a complete general parametric solution (V, W) to the high-order generalized Sylvester matrix equation Σi=0 m AiVFi = BW, with F being an arbitrary square matrix. The primary feature of this solution is that the matrix F does not need to be in any canonical form, or may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems involving high-order dynamical systems.

AB - This paper provides a complete general parametric solution (V, W) to the high-order generalized Sylvester matrix equation Σi=0 m AiVFi = BW, with F being an arbitrary square matrix. The primary feature of this solution is that the matrix F does not need to be in any canonical form, or may be even unknown a priori. The results provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems involving high-order dynamical systems.

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DO - 10.1109/CDC.2005.1583330

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SN - 0780395689

SN - 9780780395688

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SP - 7247

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BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Y2 - 12 December 2005 through 15 December 2005

ER -

Solution to high-order generalized sylvester matrix equations

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