Analysis and Control of Max-Plus Linear Discrete-Event Systems: An Introduction

Reference

B. De Schutter, T. van den Boom, J. Xu, and S. S. Farahani, "Analysis and control of max-plus linear discrete-event systems: An introduction," Discrete Event Dynamic Systems: Theory and Applications, vol. 30, pp. 25-54, 2020.

Abstract

The objective of this paper is to provide a concise introduction to the max-plus algebra and to max-plus linear discrete-event systems. We present the basic concepts of 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. Next, some control approaches for max-plus linear discrete-event systems, including residuation-based control and model predictive control, are presented briefly. Finally, we discuss some extensions of the max-plus algebra and of max-plus linear systems.

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BibTeX

@article{DeSvan:19-008,
   author  = {De Schutter, Bart and van den Boom, Ton and Xu, Jia and Farahani,
              Samira S.},
   title   = {Analysis and Control of Max-Plus Linear Discrete-Event Systems:
              {An} Introduction},
   journal = {Discrete Event Dynamic Systems: Theory and Applications},
   volume  = {30},
   pages   = {25--54},
   year    = {2020}
   }

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