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Communication dans un congrès

Modeling of Time-Varying (max,+) systems by means of Weighted Timed Event Graphs

Abstract : The (max,+) theory allows to describe the behavior of Timed Event Graphs (TEG) with constant holding times. For time-varying systems, a class of First-In First-Out TEGs with periodic holding times has already been studied in the literature. We show here that such time-varying TEGs can be modeled by equivalent Weighted TEGs for which an input-output model exists. In summary, we can describe FIFO TEGs with periodic holding times by means of ultimately periodic formal series in a dioid denoted E * per δ .
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Communication dans un congrès
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https://hal.univ-angers.fr/hal-02535602
Contributeur : Marie-Françoise Gerard <>
Soumis le : mardi 7 avril 2020 - 16:39:39
Dernière modification le : jeudi 9 avril 2020 - 10:24:44

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  • HAL Id : hal-02535602, version 1

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Bertrand Cottenceau, Sébastien Lahaye, Laurent Hardouin. Modeling of Time-Varying (max,+) systems by means of Weighted Timed Event Graphs. 12th IFAC-IEEE International Workshop on Discrete Event Systems, Jul 2014, Cachan, France. ⟨hal-02535602⟩

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