Stabilization of Max-Plus-Linear Systems Using Receding Horizon
Control: The Unconstrained Case - Extended Report
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 - 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
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. In this paper we focus on MPL systems such as they 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
Original paper
- 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. (online paper,
abstract, bibtex,
tech.
report (pdf))
Bibtex entry
@techreport{Necvan:06-007a,
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 -- {Extended} Report},
number={06-007a},
institution={Delft Center for Systems and Control, Delft University of
Technology},
address={Delft, The Netherlands},
month=apr,
year={2006},
note={A short version of this report has been published in the \emph{Proceedings
of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems (ADHS'06)},
Alghero, Italy, pp.\ 148-153, June 2006}
}
This page is maintained by Bart De Schutter.
Last update: February 21, 2026.