**Reference:**

B. De Schutter and
B. De Moor,
"State space transformations and state space realization in the max
algebra," *Proceedings of the 34th IEEE Conference on Decision and
Control*, New Orleans, Louisiana, pp. 891-896, Dec. 1995.

**Abstract:**

The topics of this paper are state space transformations and the
(partial) state space 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
equations can be transformed into an Extended Linear Complementarity
Problem to perform state space transformations and to find all
equivalent fixed order state space realizations of a multiple input
multiple output max-linear discrete event system starting from its
impulse response matrices. We also give a geometrical description of
the set of all equivalent state space realizations.

Corresponding technical report: pdf file (162 KB)

@inproceedings{DeSDeM:95-10,

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

title={State space transformations and state space realization in the max algebra},

booktitle={Proceedings of the 34th IEEE Conference on Decision and Control},

address={New Orleans, Louisiana},

pages={891--896},

month=dec,

year={1995}

}

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