On the Boolean Minimal Realization Problem in the Max-Plus Algebra:
Addendum
Reference
B. De Schutter,
V. Blondel,
R. de Vries, and
B. De Moor,
"On the Boolean Minimal Realization Problem in the Max-Plus Algebra:
Addendum," Tech. report 97-68a, ESAT-SISTA, K.U.Leuven, Leuven,
Belgium, 5 pp., Dec. 1997.
Abstract
In this addendum we present an upper bound for the minimal system
order of a max-linear time-invariant discrete event system that can be
computed very efficiently, and we give some lemmas that characterize
the ultimate behavior of the sequence of consective powers of a matrix
in the max-plus algebra.
Downloads
Original paper
- B. De Schutter, V. Blondel, R. de Vries, and B. De Moor, "On the Boolean
Minimal Realization Problem in the Max-Plus Algebra," Systems
& Control Letters, vol. 35, no. 2, pp. 69-78, Sept. 1998. (online
paper, abstract, bibtex, tech. report
(pdf))
Bibtex entry
@techreport{DeSBlo:97-68a,
author={B. {D}e Schutter and V. Blondel and R. de Vries and B. {D}e Moor},
title={On the Boolean Minimal Realization Problem in the Max-Plus Algebra:
{A}ddendum},
number={97-68a},
institution={ESAT-SISTA, K.U.Leuven},
address={Leuven, Belgium},
month=dec,
year={1997}
}
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Last update: February 21, 2026.