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Some remarks on real and complex output feedback


Rosenthal, J; Sottile, F (1998). Some remarks on real and complex output feedback. Systems & Control Letters, 33(2):73-80.

Abstract

We provide some new necessary and sufficient conditions which guarantee arbitrary pole placement of a particular linear system over the complex numbers. We exhibit a nontrivial real linear system which is not controllable by real static output feedback and discuss a conjecture from algebraic geometry concerning the existence of real linear systems for which all static feedback laws are real.

Abstract

We provide some new necessary and sufficient conditions which guarantee arbitrary pole placement of a particular linear system over the complex numbers. We exhibit a nontrivial real linear system which is not controllable by real static output feedback and discuss a conjecture from algebraic geometry concerning the existence of real linear systems for which all static feedback laws are real.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Static pole placement, Feedback stabilization, Schubert calculus, Grassmann variety
Language:English
Date:1998
Deposited On:15 Mar 2010 13:22
Last Modified:20 Feb 2018 08:05
Publisher:Elsevier
ISSN:0167-6911
OA Status:Green
Publisher DOI:https://doi.org/10.1016/S0167-6911(97)00122-9
Related URLs:http://www.nd.edu/~rosen/pole/

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