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Continuization of Timed Petri Nets: From Performance Evaluation to Observation and Control

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Applications and Theory of Petri Nets 2005 (ICATPN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3536))

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Abstract

State explosion is a fundamental problem in the analysis and synthesis of discrete event systems. Continuous Petri nets can be seen as a relaxation of discrete models allowing more efficient (in some cases polynomial time) analysis and synthesis algorithms. Nevertheless computational costs can be reduced at the expense of the analyzability of some properties. Even more, some net systems do not allow any kind of continuization. The present work first considers these aspects and some of the alternative formalisms usable for continuous relaxations of discrete systems. Particular emphasis is done later on the presentation of some results concerning performance evaluation, parametric design and marking (i.e., state) observation and control. Even if a significant amount of results are available today for continuous net systems, many essential issues are still not solved. A list of some of these are given in the introduction as an invitation to work on them.

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Authors and Affiliations

  1. Dep. Informática e Ingeniería de Sistemas, Centro Politécnico Superior de Ingenieros, Universidad de Zaragoza, María de Luna 3, E-50012, Zaragoza, Spain

    Manuel Silva & Laura Recalde

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  1. Manuel Silva
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  2. Laura Recalde
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  1. UC Riverside,  

    Gianfranco Ciardo

  2. IRISA, CNRS & INRIA, Rennes, France

    Philippe Darondeau

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Silva, M., Recalde, L. (2005). Continuization of Timed Petri Nets: From Performance Evaluation to Observation and Control. In: Ciardo, G., Darondeau, P. (eds) Applications and Theory of Petri Nets 2005. ICATPN 2005. Lecture Notes in Computer Science, vol 3536. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494744_4

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  • DOI: https://doi.org/10.1007/11494744_4

  • Publisher Name: Springer, Berlin, Heidelberg

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