Title :
On the nonlinear dynamic behavior of unrelaxed timed Petri nets in idempotent semirings
Author :
Benfekir, A. ; Hamaci, S. ; Darcherif, A.-M. ; Laval, L. ; Bouhamida, M.
Author_Institution :
USTO, El Mnaouer, Algeria
Abstract :
This paper deals with the analysis of dynamic behavior of Timed Event Graphs with Multipliers. These graphs are an extension of weighted T-systems studied in the Petri net literature. The purpose of this analyse is to extract the performances of a system by analyzing the dynamic of state associated of each transition of graph. For that, we determine the mathematical model governing the dynamic evolution of this type of graph, in a dioid of formal power series based on operators.
Keywords :
Petri nets; linear algebra; nonlinear dynamical systems; series (mathematics); formal power series; graph transition; idempotent semirings; mathematical model; nonlinear dynamic behavior; state dynamics analysis; timed event graph with multipliers; unrelaxed timed Petri nets; weighted T-systems; Adaptation models; Equations; Mathematical model; Petri nets; Radiation detectors; Vectors;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
Conference_Location :
Miedzyzdroje
Print_ISBN :
978-1-4673-5506-3
DOI :
10.1109/MMAR.2013.6670010
