On state space realizations of impulse responses of max-linear systems

Reference:
B. De Schutter and B. De Moor, "On state space realizations of impulse responses of max-linear systems," Tech. rep. 95-13, ESAT-SISTA, K.U.Leuven, Leuven, Belgium, 16 pp., Mar. 1995.

Abstract:
The topic of this paper is state space realization of impulse responses in the max-plus algebra, which is one of the modeling frameworks that can be used to model discrete event systems. We use the fact that a system of multivariate max-algebraic polynomial equalities and inequalities can be transformed into an Extended Linear Complementarity Problem to find all equivalent fixed order state space realizations of a multiple-input multiple-output max-linear discrete event system starting from its impulse response.

Downloads:

Technical report: pdf file (211 KB)
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Bibtex entry:

@techreport{DeSDeM:95-13,
        author={B. {D}e Schutter and B. {D}e Moor},
        title={{On} state space realizations of impulse responses of max-linear systems},
        number={95-13},
        institution={ESAT-SISTA, K.U.Leuven},
        address={Leuven, Belgium},
        month=mar,
        year={1995}
        }

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