Reference
B. De Schutter and B. De Moor, "On the sequence of consecutive powers of a
matrix in a Boolean algebra,"
SIAM Journal on Matrix Analysis
and Applications, vol. 21, no. 1, pp. 328-354, 1999.
Abstract
In this paper we consider the sequence of consecutive powers of a matrix in a
Boolean algebra. We characterize the ultimate behavior of this sequence, we
study the transient part of the sequence and we derive upper bounds for the
length of this transient part. We also indicate how these results can be used
in the analysis of Markov chains and in max-plus-algebraic system theory for
discrete event systems.
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BibTeX
@article{DeSDeM:97-67,
author = {De Schutter, Bart and De Moor, Bart},
title = {On the Sequence of Consecutive Powers of a Matrix in a {B}oolean
Algebra},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {21},
number = {1},
pages = {328--354},
year = {1999}
}