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Shue, L., Anderson, B. and Dey, Subhrakanti (1998) On steady-state properties of certain max-plus products. In: Proceedings of the 1998 American Control Conference. IEEE, pp. 1909-1913. ISBN 0780345304
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Abstract
The asymptotic properties of inhomogeneous products in
the max-plus algebra context have been investigated. In particular, for
products involving matrices with the same unique critical circuit, we
have obtained some sufficiency conditions under which the rank of the
final product matrix is less than or equal to the length of the critical
circuit of the matrices in the product. For a product comprising of matrices with the same unique critical circuit of length l, the asymptotic
rank is 1.
| Item Type: | Book Section |
|---|---|
| Additional Information: | Cite as: L. Shue, B. D. O. Anderson and S. Dey, "On steady-state properties of certain max-plus products," Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998, pp. 1909-1913 vol.3, doi: 10.1109/ACC.1998.707354. |
| Keywords: | Max-plus algebra; asymptotic properties; discrete-event systems; |
| Academic Unit: | Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 14434 |
| Identification Number: | 10.1109/ACC.1998.707354 |
| Depositing User: | Laura Gallagher |
| Date Deposited: | 18 May 2021 14:49 |
| Publisher: | IEEE |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/14434 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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