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Output feedback invariants


Ravi, M; Rosenthal, J; Helmke, U (2002). Output feedback invariants. Linear Algebra and its Applications, 351/35:623-637.

Abstract

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.

Abstract

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.

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Additional indexing

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
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:19 Feb 2018 21:36
Publisher:Elsevier
ISSN:0024-3795
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1016/S0024-3795(01)00528-6

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