Shue, L. and 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:	https://doi.org/10.1109/ACC.1998.707354
Depositing User:	Laura Gallagher
Date Deposited:	18 May 2021 14:49
Publisher:	IEEE
Refereed:	Yes
URI:	Publisher
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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