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.
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BibTeX
@inproceedings{DeSDeM:94-54,
author = {De Schutter, Bart and De Moor, Bart},
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}
}