Stabilization of Max-Plus-Linear Systems Using Receding Horizon Control - The Unconstrained Case

Reference

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.

Abstract

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.

Downloads

Extended version

Bibtex entry

@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: February 21, 2026.