ON JUST IN TIME CONTROL OF SWITCHING MAX-PLUS LINEAR SYSTEMS

Michel Alsaba, Sébastien Lahaye, Jean-Louis Boimond

2006

Abstract

Discrete event systems involving synchronization and delay phenomena can be described by a linear state representation over (max, +) algebra. Some discrete event systems involving choice phenomena could be transformed, under some conditions, into switching max-plus linear systems modeled as automata. The switching between states of these automata is governed by a switching variable. This paper deals with the just in time control of these switching max-plus linear systems. The control problem we propose is optimal under just in time criterion when the switching variable is given on the study horizon.

Paper Citation

in Harvard Style

Alsaba M., Lahaye S. and Boimond J. (2006). ON JUST IN TIME CONTROL OF SWITCHING MAX-PLUS LINEAR SYSTEMS . In Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 978-972-8865-61-0, pages 79-84. DOI: 10.5220/0001204200790084

in Bibtex Style

@conference{icinco06,
author={Michel Alsaba and Sébastien Lahaye and Jean-Louis Boimond},
title={ON JUST IN TIME CONTROL OF SWITCHING MAX-PLUS LINEAR SYSTEMS},
booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2006},
pages={79-84},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001204200790084},
isbn={978-972-8865-61-0},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - ON JUST IN TIME CONTROL OF SWITCHING MAX-PLUS LINEAR SYSTEMS
SN - 978-972-8865-61-0
AU - Alsaba M.
AU - Lahaye S.
AU - Boimond J.
PY - 2006
SP - 79
EP - 84
DO - 10.5220/0001204200790084