Reference
B. De Schutter and B. De Moor, "Minimal realization in the max algebra is an
extended linear complementarity problem," Tech. report 93-70, ESAT-SISTA,
K.U.Leuven, Leuven, Belgium, 18 pp., Dec. 1993.
Abstract
In this paper 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.
Downloads
Original paper
- 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. (online paper, abstract, bibtex, tech. report (pdf))
BibTeX
@techreport{DeSDeM:93-70,
author = {De Schutter, Bart and De Moor, Bart},
title = {Minimal Realization in the Max Algebra is an Extended Linear
Complementarity Problem},
number = {93-70},
institution = {ESAT-SISTA, K.U.Leuven},
address = {Leuven, Belgium},
month = dec,
year = {1993}
}