On the use of functional models in model reduction

Paul A. Fuhrmann; Uwe Helmke

doi:10.1007/978-3-540-93918-4_16

On the use of functional models in model reduction

Paul A. Fuhrmann, Uwe Helmke

Department of Mathematics

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

Abstract

It has been known for some time that the Sylvester equation plays a significant role in interpolation, feedback control, observer theory and model reduction problems. In this paper, in place of state space techniques, we use polynomial models to replace the standard Sylvester equation by a polynomial version. The polynomial Sylvester equation is closely related to a Bezout equation. We use this functional setting to unify various model reduction techniques.

Original language	English
Pages (from-to)	177-187
Number of pages	11
Journal	Lecture Notes in Control and Information Sciences
Volume	398
DOIs	https://doi.org/10.1007/978-3-540-93918-4_16
State	Published - 6 Apr 2010

Keywords

Balanced truncation
Hankel norm approximation
Interpolation
Model reduction
Tensor products

ASJC Scopus subject areas

Library and Information Sciences

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10.1007/978-3-540-93918-4_16

Cite this

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KW - Balanced truncation

KW - Hankel norm approximation

KW - Interpolation

KW - Model reduction

KW - Tensor products

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On the use of functional models in model reduction

Abstract

Keywords

ASJC Scopus subject areas

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