**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.

Corresponding technical report: pdf file (142 KB)

@inproceedings{DeSvan:08-007,

author={B. {D}e Schutter and T. van den Boom},

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}

}

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