Abstract
A new unified approach to problems of Hankel norm and balanced approximations is presented which is based on a combination of polynomial algebra and the geometry of invariant subspaces. Contrary to state space methods, where contact with external properties of systems is indirect, the approach presented yields new insights into basic properties of Hankel norm approximation and balanced realizations. Several approximation results are interpreted geometrically in terms of projections. Also duality results in this area are printed out.
| Original language | English |
|---|---|
| Pages (from-to) | 133-220 |
| Number of pages | 88 |
| Journal | Linear Algebra and Its Applications |
| Volume | 146 |
| Issue number | C |
| DOIs | |
| State | Published - 15 Feb 1991 |
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics
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