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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21968

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

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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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3 citations in Web of Science®
7 citations in Scopus®
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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:27 Nov 2013 19:11
Publisher:Elsevier
ISSN:0024-3795
Publisher DOI:10.1016/S0024-3795(01)00528-6

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