**Reference:**

B. De Schutter and
B. De Moor,
"On the boolean minimal realization problem in the max-plus algebra,"
*Proceedings of the 4th International Workshop on Discrete Event
Systems (WODES'98)*, Cagliari, Italy, pp. 231-236, Aug. 1998.

**Abstract:**

The max-plus algebra is one of the frameworks that can be used to
model discrete event systems. One of the open problems in the
max-plus-algebraic system theory for discrete event systems is the
minimal realization problem. In this paper we present some results for
a simplified version of the general minimal realization problem: the
boolean minimal realization problem, i.e., we consider models in which
the entries of the system matrices are either equal to the
max-plus-algebraic zero element or to the max-plus-algebraic identity
element.

Corresponding technical report: pdf file (179 KB)

@inproceedings{DeSDeM:98-42,

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

title={On the boolean minimal realization problem in the max-plus algebra},

booktitle={Proceedings of the 4th International Workshop on Discrete Event Systems (WODES'98)},

address={Cagliari, Italy},

pages={231--236},

month=aug,

year={1998}

}

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