Stabilization of max-plus-linear systems using receding horizon control - The unconstrained case

I. Necoara, T.J.J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control - The unconstrained case," Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006.

Max-plus-linear (MPL) systems are a class of discrete-event systems that can be described by models that are "linear" in the max-plus algebra. MPL systems arise in the context of e.g. manufacturing systems, telecommunication networks, railway networks, and parallel computing. We derive a receding horizon control scheme for MPL systems that guarantees a priori stability (in the sense of boundedness of the normalized state) of the closed-loop system in the "unconstrained" case. We also discuss the main properties of the resulting receding horizon controllers.

Online version of the paper
Corresponding technical report: pdf file (321 KB)

I. Necoara, T.J.J. van den Boom, B. De Schutter, and J. Hellendoorn, "Stabilization of max-plus-linear systems using receding horizon control: The unconstrained case - Extended report," Tech. report 06-007a, Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands, 16 pp., Apr. 2006. A short version of this report has been published in the Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06), Alghero, Italy, pp. 148-153, June 2006. (abstract, bibtex, report (pdf))

@inproceedings{Necvan:06-007,
author={I. Necoara and T.J.J. van den Boom and B. {D}e Schutter and J. Hellendoorn},
title={Stabilization of max-plus-linear systems using receding horizon control -- {The} unconstrained case},
booktitle={Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06)},
address={Alghero, Italy},
pages={148--153},
month=jun,
year={2006},
doi={10.3182/20060607-3-IT-3902.00029}
}

Go to the publications overview page.

This page is maintained by Bart De Schutter. Last update: March 1, 2025.