Standard

Analysis and control of max-plus linear discrete-event systems : An introduction. / De Schutter, Bart; van den Boom, Ton; Xu, Jia; Safaei Farahani, Samira.

In: Discrete Event Dynamic Systems: theory and applications, Vol. 30, No. 1, 2020, p. 25-54.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

De Schutter, B, van den Boom, T, Xu, J & Safaei Farahani, S 2020, 'Analysis and control of max-plus linear discrete-event systems: An introduction', Discrete Event Dynamic Systems: theory and applications, vol. 30, no. 1, pp. 25-54. https://doi.org/10.1007/s10626-019-00294-w

APA

De Schutter, B., van den Boom, T., Xu, J., & Safaei Farahani, S. (2020). Analysis and control of max-plus linear discrete-event systems: An introduction. Discrete Event Dynamic Systems: theory and applications, 30(1), 25-54. https://doi.org/10.1007/s10626-019-00294-w

Vancouver

De Schutter B, van den Boom T, Xu J, Safaei Farahani S. Analysis and control of max-plus linear discrete-event systems: An introduction. Discrete Event Dynamic Systems: theory and applications. 2020;30(1):25-54. https://doi.org/10.1007/s10626-019-00294-w

Author

De Schutter, Bart ; van den Boom, Ton ; Xu, Jia ; Safaei Farahani, Samira. / Analysis and control of max-plus linear discrete-event systems : An introduction. In: Discrete Event Dynamic Systems: theory and applications. 2020 ; Vol. 30, No. 1. pp. 25-54.

BibTeX

@article{6f4365e5bb224523b023c894c421f3cc,
title = "Analysis and control of max-plus linear discrete-event systems: An introduction",
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.",
keywords = "Analysis of discrete-event systems, Max-plus algebra, Max-plus linear systems, Model predictive control, Model-based control of max-plus linear systems, Residuation-based control, Survey",
author = "{De Schutter}, Bart and {van den Boom}, Ton and Jia Xu and {Safaei Farahani}, Samira",
year = "2020",
doi = "10.1007/s10626-019-00294-w",
language = "English",
volume = "30",
pages = "25--54",
journal = "Discrete Event Dynamic Systems: theory and applications",
issn = "0924-6703",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Analysis and control of max-plus linear discrete-event systems

T2 - An introduction

AU - De Schutter, Bart

AU - van den Boom, Ton

AU - Xu, Jia

AU - Safaei Farahani, Samira

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Analysis of discrete-event systems

KW - Max-plus algebra

KW - Max-plus linear systems

KW - Model predictive control

KW - Model-based control of max-plus linear systems

KW - Residuation-based control

KW - Survey

UR - http://www.scopus.com/inward/record.url?scp=85075911950&partnerID=8YFLogxK

U2 - 10.1007/s10626-019-00294-w

DO - 10.1007/s10626-019-00294-w

M3 - Article

AN - SCOPUS:85075911950

VL - 30

SP - 25

EP - 54

JO - Discrete Event Dynamic Systems: theory and applications

JF - Discrete Event Dynamic Systems: theory and applications

SN - 0924-6703

IS - 1

ER -

ID: 67600748