**Reference:**

B. De Schutter and
B. De Moor,
"Minimal state space realization of MIMO systems in the max algebra,"
*Proceedings of the 3rd European Control Conference (ECC'95)*,
Rome, Italy, pp. 411-416, Sept. 1995.

**Abstract:**

The topic of this paper is the (partial) minimal realization problem
in the max algebra, which is one of the modeling frameworks that can
be used to model discrete event systems. We use the fact that a system
of multivariate max-algebraic polynomial equalities can be transformed
into an Extended Linear Complementarity Problem to find all equivalent
minimal state space realizations of a multiple input multiple output
(MIMO) max-linear discrete event system starting from its impulse
response matrices. We also give a geometrical description of the set
of all minimal state space realizations.

Corresponding technical report: pdf file (165 KB)

@inproceedings{DeSDeM:94-54,

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

title={Minimal state space realization of {MIMO} systems in the max algebra},

booktitle={Proceedings of the 3rd European Control Conference (ECC'95)},

address={Rome, Italy},

pages={411--416},

month=sep,

year={1995}

}

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