**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.

Online version of the paper

Corresponding technical report: pdf file (363 KB)

@article{DeSDeM:97-67,

author={B. {De Schutter} and B. {De Moor}},

title={On the sequence of consecutive powers of a matrix in a {Boolean} algebra},

journal={SIAM Journal on Matrix Analysis and Applications},

volume={21},

number={1},

pages={328--354},

year={1999},

doi={10.1137/S0895479897326079}

}

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