Minimal realization in the max algebra is an extended linear complementarity problem


Reference:
B. De Schutter and B. De Moor, "Minimal realization in the max algebra is an extended linear complementarity problem," Tech. rep. 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:
 * Technical report: pdf file (215 KB)
      Note: More information on the pdf file format mentioned above can be found here.


Bibtex entry:

@techreport{DeSDeM:93-70,
        author={B. {De Schutter} and B. {De Moor}},
        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}
        }



Go to the publications overview page.


This page is maintained by Bart De Schutter. Last update: December 15, 2015.