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Timed Continuous Petri Nets: Set Invariance in Feedback Design for Componentwise Boundedness and Weak Conservativity

Authors
  • Timotei Asaftei

    Department of Automatic Control and Applied Informatics, Technical University "Gheorghe Asachi" of Iasi, Tel: 0040-232-230751, Romania

  • Mihaela-Hanako Matcovschi

    Department of Automatic Control and Applied Informatics, Technical University "Gheorghe Asachi" of Iasi, Tel: 0040-232-230751, Romania

Abstract
This paper depicts a method for ensuring refined boundedness properties, namely componentwise boundedness and weak conservativity, for timed continuous Petri nets operating with infinite server semantics. The theoretical foundation, based on set-invariance, is followed by the presentation of the numerical implementation as a linear programming problem. A case study illustrates the applicability of our approach.
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Published
2013-06-22
Section
Articles