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 |
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Pages (from-to) | 177-187 |
Number of pages | 11 |
Journal | Lecture Notes in Control and Information Sciences |
Volume | 398 |
DOIs | |
State | Published - 6 Apr 2010 |
Keywords
- Balanced truncation
- Hankel norm approximation
- Interpolation
- Model reduction
- Tensor products
ASJC Scopus subject areas
- Library and Information Sciences