UZH-Logo

Homogeneous behaviors


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

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.

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.

Citations

8 citations in Web of Science®
8 citations in Scopus®
Google Scholar™

Altmetrics

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:Linear behavior - Compactification of systems - Shift spaces - Grothendieck quotient scheme
Language:English
Date:1997
Deposited On:16 Mar 2010 08:42
Last Modified:05 Apr 2016 13:26
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

Download

Full text not available from this repository.View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations