TENSORED POLYNOMIAL MODELS, THE SYLVESTER EQUATION AND MODEL REDUCTION

P. A. Fuhrmann; U. Helmke

doi:10.3182/20071017-3-BR-2923.00034

TENSORED POLYNOMIAL MODELS, THE SYLVESTER EQUATION AND MODEL REDUCTION

P. A. Fuhrmann, U. Helmke

Department of Mathematics

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

Abstract

The aim of the present paper is to introduce two different versions of tensor products of functional models and apply them to the study of the Sylvester equation. We generalize the classical matrix Sylvester equation to a polynomial Sylvester equation and proceed to rederive some classical results. We end by applying our method to problems of model reduction.

Original language	English
Pages (from-to)	202-207
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	40
Issue number	20
DOIs	https://doi.org/10.3182/20071017-3-BR-2923.00034
State	Published - 1 Jan 2007
Event	3rd IFAC Symposium on System Structure and Control, SSSC 2007 - Foz do Iguassu, Brazil Duration: 17 Oct 2007 → 19 Oct 2007

Keywords

Sylvester equation
Tensor products
interpolation
model reduction
polynomial models

ASJC Scopus subject areas

Control and Systems Engineering

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10.3182/20071017-3-BR-2923.00034

Cite this

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abstract = "The aim of the present paper is to introduce two different versions of tensor products of functional models and apply them to the study of the Sylvester equation. We generalize the classical matrix Sylvester equation to a polynomial Sylvester equation and proceed to rederive some classical results. We end by applying our method to problems of model reduction.",

keywords = "Sylvester equation, Tensor products, interpolation, model reduction, polynomial models",

author = "Fuhrmann, {P. A.} and U. Helmke",

note = "Publisher Copyright: Copyright {\textcopyright} 2007 IFAC.; 3rd IFAC Symposium on System Structure and Control, SSSC 2007 ; Conference date: 17-10-2007 Through 19-10-2007",

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AB - The aim of the present paper is to introduce two different versions of tensor products of functional models and apply them to the study of the Sylvester equation. We generalize the classical matrix Sylvester equation to a polynomial Sylvester equation and proceed to rederive some classical results. We end by applying our method to problems of model reduction.

KW - Sylvester equation

KW - Tensor products

KW - interpolation

KW - model reduction

KW - polynomial models

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DO - 10.3182/20071017-3-BR-2923.00034

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T2 - 3rd IFAC Symposium on System Structure and Control, SSSC 2007

Y2 - 17 October 2007 through 19 October 2007

ER -

TENSORED POLYNOMIAL MODELS, THE SYLVESTER EQUATION AND MODEL REDUCTION

Abstract

Keywords

ASJC Scopus subject areas

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