Max-plus algebra in the history of discrete event systems

J Komenda, S Lahaye, JL Boimond… - Annual Reviews in …, 2018 - Elsevier
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Analysis and control of max-plus linear discrete-event systems: An introduction

B De Schutter, T van den Boom, J Xu… - Discrete Event Dynamic …, 2020 - Springer
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 …

Observer-based controllers for max-plus linear systems

L Hardouin, Y Shang, CA Maia… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Max-plus algebra is a suitable algebraic setting to model discrete event systems involving
synchronization and delay phenomena which are often found in transportation networks …

Optimal control of timed event graphs with resource sharing and output-reference update

G Schafaschek, L Hardouin, J Raisch - at-Automatisierungstechnik, 2020 - degruyter.com
Timed event graphs (TEGs) are a subclass of timed Petri nets that model synchronization
and delay phenomena, but not conflict or choice. We consider a scenario where a number of …

Optimal output feedback control of Timed Event Graphs including disturbances in a resource sharing environment

P Goltz, G Schafaschek, L Hardouin, J Raisch - IFAC-PapersOnLine, 2022 - Elsevier
Timed event graphs (TEGs) constitute a subclass of timed Petri nets that model
synchronization and delay phenomena, but not conflict or choice. In a suitable mathematical …

Max-plus algebra and discrete event systems

J Komenda, S Lahaye, JL Boimond… - IFAC-PapersOnLine, 2017 - Elsevier
ScienceDirect Page 1 IFAC PapersOnLine 50-1 (2017) 1784–1790 ScienceDirect Available
online at www.sciencedirect.com 2405-8963 © 2017, IFAC (International Federation of Automatic …

Switching models and control of Petri Nets with shared resources under marking constraints

BA Nesrine, A Said, M Hassani - International Journal of Computer …, 2022 - Taylor & Francis
Nowadays multi-option phenomena can generate potential problems related to industrial
manufacturing systems. For instance, time and money loss are both expensive costs that …

Modeling and control of drug assignment for pharmaceutical cabinets using discrete event systems approaches

M Soumatia, S Amari, K Hachemi - Asian Journal of Control, 2024 - Wiley Online Library
The public health sector, considered to be vital, especially in this pandemic crisis of COVID‐
19, requires automation and control of drug distribution in pharmacies commonly …

Analytic evaluation of the cycle time on networked conflicting timed event graphs in the (max,+) algebra

WM Boussahel, S Amari, R Kara - Discrete Event Dynamic Systems, 2016 - Springer
This work deals with performance evaluation of Conflicting Timed Event Graph (CTEG), a
class of Petri net exhibiting phenomena such as synchronization, parallelism and resources …

Modelling and feedback control for a class of Petri Nets with shared resources subject to strict time constraints using Max-plus algebra

S Aberkane, R Kara, S Amari - International Journal of Systems …, 2021 - Taylor & Francis
We address a modelling framework and a state feedback control problem of discrete event
systems with shared resources using Max-plus algebra. In this paper, we consider the class …