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Ravi, M; Rosenthal, J; Helmke, U (2002). Output feedback invariants. Linear Algebra and its Applications, 351/35:623-637.
The paper is concerned with the problem of determining a complete set of invariants for output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi-projective variety whose points parameterize the output feedback orbits in a unique way. If the McMillan degree n ≥ mp, the product of the number of inputs and number of outputs, then it is shown that in the closure of every feedback orbit there is exactly one nondegenerate system.
| Other titles: | Fourth special issue on linear systems and control |
|---|---|
| Item Type: | Journal Article, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory
Physical Sciences > Numerical Analysis Physical Sciences > Geometry and Topology Physical Sciences > Discrete Mathematics and Combinatorics |
| Uncontrolled Keywords: | Feedback invariants, Autoregressive systems, Geometric invariant theory, Grassmannian, Quot scheme |
| Language: | English |
| Date: | 2002 |
| Deposited On: | 11 Mar 2010 10:37 |
| Last Modified: | 03 Mar 2025 02:37 |
| Publisher: | Elsevier |
| ISSN: | 0024-3795 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/S0024-3795(01)00528-6 |
Ravi, M