Matrix factorization and minimal state space realization in the max-plus algebra

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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Corresponding technical report: pdf file (152 KB)
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Bibtex entry:

@inproceedings{DeSDeM:96-69,
        author={B. {D}e Schutter and B. {D}e Moor},
        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}
        }

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