**Reference:**

B. De Schutter and
B. De Moor,
"Matrix factorization and minimal state space realization in the
max-plus algebra," *Proceedings of the 1997 American Control
Conference*, Albuquerque, New Mexico, pp. 3136-3140, June 1997.

**Abstract:**

The topics of this paper are matrix factorizations and the minimal
state space realization problem in the max-plus algebra, which is one
of the modeling frameworks that can be used to model discrete event
systems. We present a heuristic algorithm to compute a factorization
of a matrix in the max-plus algebra. Next we use this algorithm to
determine the minimal system order (and to construct a minimal state
space realization) of a max-linear time-invariant discrete event
system.

Corresponding technical report: pdf file (152 KB)

@inproceedings{DeSDeM:96-69,

author={B. {D}e Schutter and B. {D}e Moor},

title={Matrix factorization and minimal state space realization in the max-plus algebra},

booktitle={Proceedings of the 1997 American Control Conference},

address={Albuquerque, New Mexico},

pages={3136--3140},

month=jun,

year={1997}

}

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