On the use of functional models in model reduction

Paul A. Fuhrmann, Uwe Helmke

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)177-187
Number of pages11
JournalLecture Notes in Control and Information Sciences
StatePublished - 6 Apr 2010


  • Balanced truncation
  • Hankel norm approximation
  • Interpolation
  • Model reduction
  • Tensor products

ASJC Scopus subject areas

  • Library and Information Sciences


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