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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
Full text not available from this repository.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 |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software |
| Journal or Publication Title: | KYBERNETIKA |
| Publisher: | KYBERNETIKA |
| ISSN: | 0023-5954 |
| Date: | 2003 |
| Volume: | 39 |
| Number: | 2 |
| Number of Pages: | 11 |
| Page Range: | pp. 205-215 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9530 |
Data sourced from Thomson Reuters' Web of Knowledge
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