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Positive Systems: Theory and Applications

Proceedings of the First Multidisciplinary International Symposium on Positive Systems: Theory and Applications (POSTA 2003), Rome, Italy, August 28-30, 2003.

  • Conference proceedings
  • © 2003

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Editors:
  1. Luca Benvenuti
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  2. Alberto Santis
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  3. Lorenzo Farina
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  • Proceedings of a multidisciplinary symposium on Positive Systems held in Rome, Italy, August 2003

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 294)

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Table of contents (52 papers)

  1. Front Matter

    Download chapter PDF

  2. Positive Random Systems with Application to Investment

    • David G. Luenberger
    Pages 1-1

  3. Rational Positive Systems for Reaction Networks

    • Jan H. van Schuppen
    Pages 3-5

  4. Min-plus and Max-plus System Theory Applied to Communication Networks

    • Jean-Yves Le Boudec, Patrick Thiran
    Pages 7-14

  5. Reachability and Invariance Problems in Max-plus Algebra

    • Stéphane Gaubert, Ricardo Katz
    Pages 15-22

  6. Modelling of Urban Bus Networks in Dioids Algebra

    • Sébastien Lahaye, Laurent Houssin, Jean-Louis Boimond
    Pages 23-30

  7. Modal Logic and Dioids

    • Christiano P. Pessanha, Rafael Santos-Mendes
    Pages 31-38

  8. Monotone Linear Dynamical Systems over Dioids

    • Laurent Truffet
    Pages 39-45

  9. Optimal Control for (max,+)-linear Systems in the Presence of Disturbances

    • Mehdi Lhommeau, Laurent Hardouin, Bertrand Cottenceau
    Pages 47-54

  10. Unforced Continuous Petri Nets and Positive Systems

    • Manuel Silva, Laura Recalde
    Pages 55-62

  11. Reachability Graph for Autonomous Continuous Petri Nets

    • René David, Hassane Alla
    Pages 63-70

  12. Modeling Hybrid Positive Systems with Hybrid Petri Nets

    • Marco Gribaudo, András Horváth
    Pages 71-78

  13. Simulation and Control of a Bottling Plant using First-order Hybrid Petri Nets

    • Roberta Armosini, Alessandro Giua, M. Teresa Pilloni, Carla Seatzu
    Pages 79-86

  14. Parameter Identifiability of Nonlinear Biological Systems

    • Mariapia Saccomani, Stefania Audoly, Giuseppina Bellu, Leontina D’Angiò
    Pages 87-93

  15. Towards Whole Cell “in Silico” Models for Cellular Systems: Model Set-up and Model Validation

    • Andreas Kremling, Katja Bettenbrock, Sophia Fischer, Martin Ginkel, Thomas Sauter, Ernst Dieter Gilles
    Pages 95-102

  16. Guaranteed Parameter Estimation for Cooperative Models

    • Michel Kieffer, Eric Walter
    Pages 103-110

  17. Modeling and Simulation of Genetic Regulatory Networks

    • Hidde de Jong
    Pages 111-118

  18. Qualitative Analysis of Regulatory Graphs: A Computational Tool Based on a Discrete Formal Framework

    • Claudine Chaouiya, Elisabeth Remy, Brigitte Mossé, Denis Thieffry
    Pages 119-126

  19. A Reconstruction Algorithm for Gene Regulatory Sparse Networks using Positive Systems

    • Ilaria Mogno
    Pages 127-134

  20. The Basic Reproduction Number in a Multi-city Compartmental Epidemic Model

    • Julien Arino, Pauline van den Driessche
    Pages 135-142
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About this book

This book contains the proceedings of the First Multidisciplinary International Symposium on Positive Systems Theory and Applications (POSTA 2003) held in Rome, Italy, on August 28-30, 2003.  Positive Systems are systems in which the relevant variables assume nonnegative values. These systems are quite common in applications where variables represent positive quantities such as populations, goods, money, time, data packets flowing in a network, densities of chemical species, probabilities etc. The aim of the symposium was to join together researchers working in the different areas related to positive systems such as telecommunications, economy, biomedicine, chemistry and physics in order to provide a multidisciplinary forum where they have the opportunity to exchange ideas and compare results in a unifying framework.

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