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The Hermann-Martin curve


Rosenthal, J (2005). The Hermann-Martin curve. In: Dayawansa, W P; Lindquist, A; Zhou, Y. New directions and applications in control theory. Berlin: Springer, 353-365.

Abstract

Every linear system can be naturally identified with a rational curve in a Grassmann variety. The associated curve is often referred to as the Hermann-Martin curve of the system. “This article explains this crucial link between systems theory and geometry. The geometric translation
also provides important tools when studying control design problems. In the second part of the article, it is shown howit is possible to tackle some important control design problems by geometric means.

Every linear system can be naturally identified with a rational curve in a Grassmann variety. The associated curve is often referred to as the Hermann-Martin curve of the system. “This article explains this crucial link between systems theory and geometry. The geometric translation
also provides important tools when studying control design problems. In the second part of the article, it is shown howit is possible to tackle some important control design problems by geometric means.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2005
Deposited On:10 Apr 2009 08:11
Last Modified:05 Apr 2016 13:12
Publisher:Springer
Series Name:Lecture notes in control and information sciences
Number:321
ISSN:0170-8643
ISBN:978-3-540-23953-6
Additional Information:Conference in Honor of Clyde Martins 60th Birthday on New Directions and Applications in Control Theory, Lubbock, TX, NOV 14-15, 2003
Publisher DOI:10.1007/10984413_22
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2181477
http://opac.nebis.ch/F/?local_base=NEBIS&con_lng=GER&func=find-b&find_code=SYS&request=005034571

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