**Reference:**

B. De Schutter and
B. De Moor,
"Minimal realization in the max algebra is an extended linear
complementarity problem," *Systems & Control Letters*, vol.
25, no. 2, pp. 103-111, May 1995.

**Abstract:**

We demonstrate that the minimal state space realization problem in the
max algebra can be transformed into an Extended Linear Complementarity
Problem (ELCP). We use an algorithm that finds all solutions of an
ELCP to find all equivalent minimal state space realizations of a
single input single output (SISO) discrete event system. We also give
a geometrical description of the set of all minimal realizations of a
SISO max-linear discrete event system.

Online version of the paper

Corresponding technical report: pdf file (153 KB)

@article{DeSDeM:93-70a,

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

title={Minimal realization in the max algebra is an extended linear complementarity problem},

journal={Systems \& Control Letters},

volume={25},

number={2},

pages={103--111},

month=may,

year={1995},

doi={10.1016/0167-6911(94)00062-Z}

}

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