Minimal realizations and state space transformations in the symmetrized max-algebra

Reference:
R. de Vries, B. De Schutter, and B. De Moor, "Minimal realizations and state space transformations in the symmetrized max-algebra," Proceedings of the IFAC Conference on System Structure and Control (SSC'98), Nantes, France, pp. 587-592, July 1998.

Abstract:
State space transformations in the max-algebraic system theory for Discrete Event Systems (DES) are discussed. Some transformations between different realizations of a given impulse response of a DES are suggested and their limitations are illustrated. It is explained why a general result seems hard to prove.

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Corresponding technical report: pdf file (106 KB)
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Bibtex entry:

@inproceedings{deVDeS:98-62,
        author={R. de Vries and B. {D}e Schutter and B. {D}e Moor},
        title={Minimal realizations and state space transformations in the symmetrized max-algebra},
        booktitle={Proceedings of the IFAC Conference on System Structure and Control (SSC'98)},
        address={Nantes, France},
        pages={587--592},
        month=jul,
        year={1998}
        }

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