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Abstract
Maps f defined on the interior of the standard nonnegative cone K in R^N which are both homogeneous of degree 1 and orderpreserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are nonexpanding in Thompson's part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous orderpreserving continuous extension to the whole cone. It follows that the extension must have at least one eigenvector in K  {0}. In the case where the cycle time chi(f) of the original map does not exist, such eigenvectors must lie in the boundary of K  {0}.
Original language  English 

Pages (fromto)  205215 
Number of pages  11 
Journal  Kybernetika 
Volume  39 
Issue number  2 
Publication status  Published  2003 
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Dive into the research topics of 'Continuous extension of orderpreserving homogeneous maps'. Together they form a unique fingerprint.Activities
 1 Visiting an external academic institution

Rutgers  The State University of New Jersey, New Brunswick
Andrew Burbanks (Visiting researcher)
1 Jan 2002 → 31 Dec 2003Activity: Visiting an external organisation types › Visiting an external academic institution