ON MODELING AND CONTROL OF DISCRETE TIMED EVENT GRAPHS WITH MULTIPLIERS USING (MIN, +) ALGEBRA

Samir Hamaci, Jean-Louis Boimond, Sébastien Lahaye

Abstract

Timed event graphs with multipliers, also called timed weighted marked graphs, constitute a subclass of Petri nets well adapted to model discrete event systems involving synchronization and saturation phenomena. Their dynamic behaviors can be modeled by using a particular algebra of operators. A just in time control method of these graphs based on Residuation theory is proposed.

References

  1. Baccelli, F., Cohen, G., Olsder, G., and Quadrat, J.-P. (1992). Synchronization and Linearity: An Algebra for Discrete Event Systems. Wiley.
  2. Blyth, T. and Janowitz, M. (1972). "Residuation Theory". Pergamon Press, Oxford.
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Paper Citation


in Harvard Style

Hamaci S., Boimond J. and Lahaye S. (2004). ON MODELING AND CONTROL OF DISCRETE TIMED EVENT GRAPHS WITH MULTIPLIERS USING (MIN, +) ALGEBRA . In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-12-0, pages 32-37. DOI: 10.5220/0001130000320037


in Bibtex Style

@conference{icinco04,
author={Samir Hamaci and Jean-Louis Boimond and Sébastien Lahaye},
title={ON MODELING AND CONTROL OF DISCRETE TIMED EVENT GRAPHS WITH MULTIPLIERS USING (MIN, +) ALGEBRA},
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2004},
pages={32-37},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001130000320037},
isbn={972-8865-12-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - ON MODELING AND CONTROL OF DISCRETE TIMED EVENT GRAPHS WITH MULTIPLIERS USING (MIN, +) ALGEBRA
SN - 972-8865-12-0
AU - Hamaci S.
AU - Boimond J.
AU - Lahaye S.
PY - 2004
SP - 32
EP - 37
DO - 10.5220/0001130000320037