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Continuous extension of order-preserving homogeneous maps
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UNSPECIFIED (2003) Continuous extension of order-preserving homogeneous maps. KYBERNETIKA, 39 (2). pp. 205-215. ISSN 0023-5954.
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Abstract
Maps f defined on the interior of the standard non-negative cone K in R-N which are both homogeneous of degree 1 and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding 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 order-preserving 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 partial derivativeK - {0}.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
Journal or Publication Title: | KYBERNETIKA | ||||
Publisher: | KYBERNETIKA | ||||
ISSN: | 0023-5954 | ||||
Official Date: | 2003 | ||||
Dates: |
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Volume: | 39 | ||||
Number: | 2 | ||||
Number of Pages: | 11 | ||||
Page Range: | pp. 205-215 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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