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Mathematical Problems in Engineering
Volume 2014, Article ID 835312, 21 pages
Research Article

Identification of Stochastic Timed Discrete Event Systems with st-IPN

1Grupo de Automática Industrial, Universidad del Cauca, Popayán, Colombia
2Instituto de Automática e Informática Industrial, Universitat Politècnica de València, Camino de Vera Street, s/n, 46022 Valencia, Spain

Received 18 October 2013; Revised 14 April 2014; Accepted 28 April 2014; Published 9 July 2014

Academic Editor: Yingwei Zhang

Copyright © 2014 Doyra Mariela Muñoz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a method for the identification of stochastic timed discrete event systems, based on the analysis of the behavior of the input and output signals, arranged in a timeline. To achieve this goal stochastic timed interpreted Petri nets are defined. These nets link timed discrete event systems modelling with stochastic time modelling. The procedure starts with the observation of the input/output signals; these signals are converted into events, so that the sequence of events is the observed language. This language arrives to an identifier that builds a stochastic timed interpreted Petri net which generates the same language. The identified model is a deterministic generator of the observed language. The identification method also includes an algorithm that determines when the identification process is over.