Reference
B. De Schutter and B. De Moor, "On the Boolean minimal realization problem in
the max-plus algebra,"
Proceedings of the 4th International
Workshop on Discrete Event Systems (WODES'98), Cagliari, Italy, pp.
231-236, Aug. 1998.
Abstract
The max-plus algebra is one of the frameworks that can be used to model
discrete event systems. One of the open problems in the max-plus-algebraic
system theory for discrete event systems is the minimal realization problem. In
this paper we present some results for a simplified version of the general
minimal realization problem: the boolean minimal realization problem, i.e., we
consider models in which the entries of the system matrices are either equal to
the max-plus-algebraic zero element or to the max-plus-algebraic identity
element.
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BibTeX
@inproceedings{DeSDeM:98-42,
author = {De Schutter, Bart and De Moor, Bart},
title = {On the {B}oolean Minimal Realization Problem in the Max-Plus
Algebra},
booktitle = {Proceedings of the 4th International Workshop on Discrete Event
Systems (WODES'98)},
address = {Cagliari, Italy},
pages = {231--236},
month = aug,
year = {1998}
}