Reference
B. De Schutter and B. De Moor, "Matrix factorization and minimal state space
realization in the max-plus algebra,"
Proceedings of the 1997
American Control Conference, Albuquerque, New Mexico, pp. 3136-3140,
June 1997.
Abstract
The topics of this paper are matrix factorizations and the minimal state space
realization problem in the max-plus algebra, which is one of the modeling
frameworks that can be used to model discrete event systems. We present a
heuristic algorithm to compute a factorization of a matrix in the max-plus
algebra. Next we use this algorithm to determine the minimal system order (and
to construct a minimal state space realization) of a max-linear time-invariant
discrete event system.
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BibTeX
@inproceedings{DeSDeM:96-69,
author = {De Schutter, Bart and De Moor, Bart},
title = {Matrix Factorization and Minimal State Space Realization in the
Max-Plus Algebra},
booktitle = {Proceedings of the 1997 American Control Conference},
address = {Albuquerque, New Mexico},
pages = {3136--3140},
month = jun,
year = {1997}
}