**Reference:**

G.J. Olsder and
B. De Schutter,
"The minimal realization problem in the max-plus algebra," Chapter 32
in *Open Problems in Mathematical Systems and Control Theory*
(V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, eds.),
London, UK: Springer, ISBN 1-85233-044-9, pp. 157-162, 1999.

**Abstract:**

In this chapter we present known results and open problems in
connection with the minimal state space realization problem in the
max-plus algebra, which is a framework that can be used to model a
class of discrete event systems.

Online version of the chapter

Corresponding technical report: pdf file (108 KB)

@incollection{OlsDeS:98-96,

author={G.J. Olsder and B. {D}e Schutter},

title={The minimal realization problem in the max-plus algebra},

chapter={32},

booktitle={Open Problems in Mathematical Systems and Control Theory},

editor={V.D. Blondel and E.D. Sontag and M. Vidyasagar and J.C. Willems},

publisher={Springer},

address={London, UK},

pages={157--162},

year={1999},

doi={10.1007/978-1-4471-0807-8_32}

}

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