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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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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|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|
|Deposited On:||11 Mar 2010 10:37|
|Last Modified:||27 Nov 2013 19:11|
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