The minimal realization problem in the max-plus algebra

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.

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Bibtex entry:

@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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