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.
Publisher page
Downloads
BibTeX
@inproceedings{DeSDeM:95-10,
author = {De Schutter, Bart and De Moor, Bart},
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}
}