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. report 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.

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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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