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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