@inproceedings{7fbb6bd0dc3d413f931d0fb34aca6cbc,
title = "On steady-state properties of certain max-plus products",
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 1, the asymptotic rank is 1.",
keywords = "Asymptotic properties, Discrete-event systems, Max-plus algebra",
author = "L. Shue and Anderson, \{B. D.O.\} and S. Dey",
year = "1998",
doi = "10.1109/ACC.1998.707354",
language = "English",
isbn = "0780345304",
series = "Proceedings of the American Control Conference",
pages = "1909--1913",
booktitle = "Proceedings of the 1998 American Control Conference, ACC 1998",
note = "1998 American Control Conference, ACC 1998 ; Conference date: 24-06-1998 Through 26-06-1998",
}