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Ravi, M; Rosenthal, J; Schumacher, J (1997). Homogeneous behaviors. Mathematics of Control, Signals, and Systems, 10(1):61-75.

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Abstract

Recently a smooth compactification of the space of linear systems withn states,m inputs, andp outputs has been discovered. In this paper we obtain a concrete interpretation of this compactification as a space of discrete-time behaviors. We use both homogeneous polynomial representations and generalized firstorder representations, and provide a realization theory to link these to each other.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:Linear behavior - Compactification of systems - Shift spaces - Grothendieck quotient scheme
Language:English
Date:1997
Deposited On:16 Mar 2010 08:42
Last Modified:28 Nov 2013 01:05
Publisher:Springer
ISSN:0932-4194
Additional Information:The original publication is available at www.springerlink.com
Free access at:Related URL. An embargo period may apply.
Publisher DOI:10.1007/BF01219776
Related URLs:http://arno.uvt.nl/show.cgi?fid=43892
Citations:Web of Science®. Times Cited: 8
Google Scholar™
Scopus®. Citation Count: 7

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