Reference
B. De Schutter and T. van den Boom, "Max-plus algebra and max-plus linear
discrete event systems: An introduction,"
Proceedings of the
9th International Workshop on Discrete Event Systems (WODES'08),
Göteborg, Sweden, pp. 36-42, May 2008.
Abstract
We provide an introduction to the max-plus algebra and explain how it can be
used to model a specific class of discrete event systems with synchronization
but no concurrency. Such systems are called max-plus linear discrete event
systems because they can be described by a model that is "linear" in the
max-plus algebra. We discuss some key properties of the max-plus algebra and
indicate how these properties can be used to analyze the behavior of max-plus
linear discrete event systems. We also briefly present some control approaches
for max-plus linear discrete event systems, including model predictive control.
Finally, we discuss some extensions of the max-plus algebra and of max-plus
linear systems.
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BibTeX
@inproceedings{DeSvan:08-007,
author = {De Schutter, Bart and van den Boom, Ton},
title = {Max-Plus Algebra and Max-Plus Linear Discrete Event Systems:
{An} Introduction},
booktitle = {Proceedings of the 9th International Workshop on Discrete Event
Systems (WODES'08)},
address = {G\"oteborg, Sweden},
pages = {36--42},
month = may,
year = {2008}
}