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Authors: Mohamed Khalid DIDI ALAOUI and Philippe DECLERCK

Affiliation: LISA FRE 2656 CNRS, ISTIA, France

ISBN: 972-8865-12-0

Keyword(s): (min,max,+) functions, cycle-time vector, fixed point, P-time event graphs.

Related Ontology Subjects/Areas/Topics: Discrete Event Systems ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control

Abstract: The (max,+) algebra is usually used to model Timed event graph. In this paper, we show that P-time event graphs which extend Timed event graph, can be modelled using maximum, minimum and addition operations. The result is a new model called interval descriptor system where the time evolution is not strictly deterministic but belongs to intervals. The cycle-time vector allows us to to check its correct behaviour and to verify the existence of a state trajectory. Particularly, it detects the presence of token-deads which can generate a deadlock.

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Paper citation in several formats:
Khalid DIDI ALAOUI M.; DECLERCK P. and (2004). FROM DIOID ALGEBRA TO P-TIME EVENT GRAPHS.In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-12-0, pages 332-337. DOI: 10.5220/0001137403320337

@conference{icinco04,
author={Mohamed {Khalid DIDI ALAOUI} and Philippe DECLERCK},
title={FROM DIOID ALGEBRA TO P-TIME EVENT GRAPHS},
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2004},
pages={332-337},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001137403320337},
isbn={972-8865-12-0},
}

TY - CONF

JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - FROM DIOID ALGEBRA TO P-TIME EVENT GRAPHS
SN - 972-8865-12-0
AU - Khalid DIDI ALAOUI, M.
AU - DECLERCK, P.
PY - 2004
SP - 332
EP - 337
DO - 10.5220/0001137403320337

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