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Positive Systems

Theory and Applications (POSTA 2016) Rome, Italy, September 14-16, 2016

  • Book
  • © 2017

Overview

Editors:
  1. Filippo Cacace

    1. Università Campus Biomedico , Rome, Italy

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  2. Lorenzo Farina

    1. Sapienza Università di Roma , Rome, Italy

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  3. Roberto Setola

    1. Università Campus Biomedico , Rome, Italy

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  4. Alfredo Germani

    1. Università dell’Aquila , L'Aquila, Italy

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  • Presents novel and innovative contributions on positive systems
  • Gathers selected contributions from the 5th International Symposium on Positive Systems, held in Rome, Italy, September 14–16, 2016
  • Offers valuable insights for researchers in applied mathematics, control engineering and statistics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 471)

Included in the following conference series:

Conference proceedings info: POSTA 2016.

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-viii
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  2. Positive Systems Biology

    1. Front Matter

      Pages 1-1
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    2. Persistence, Periodicity and Privacy for Positive Systems in Epidemiology and Elsewhere

      • Oliver Mason, Aisling McGlinchey, Fabian Wirth
      Pages 3-15

    3. Control of Anesthesia Based on Singularly Perturbed Model

      • Sophie Tarbouriech, Isabelle Queinnec, Germain Garcia, Michel Mazerolles
      Pages 17-29

    4. Interval Observers for SIR Epidemic Models Subject to Uncertain Seasonality

      • Pierre-Alexandre Bliman, Bettina D’Avila Barros
      Pages 31-39

    5. Analysis of a Reaction-Diffusion Epidemic Model

      • B.  Cantó, C.  Coll, S. Romero-Vivó, E.  Sánchez
      Pages 41-50

  3. Positive Systems with Delay and Disturbance

    1. Front Matter

      Pages 51-51
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    2. On Feedback Transformation and Integral Input-to-State Stability in Designing Robust Interval Observers for Control Systems

      • Thach Ngoc Dinh, Hiroshi Ito
      Pages 53-65

    3. Stability Analysis of Neutral Type Time-Delay Positive Systems

      • Yoshio Ebihara, Naoya Nishio, Tomomichi Hagiwara
      Pages 67-80

    4. Internally Positive Representations and Stability Analysis of Linear Delay Systems with Multiple Time-Varying Delays

      • Francesco Conte, Vittorio De Iuliis, Costanzo Manes
      Pages 81-93

  4. Switched and Fractional Positive Systems

    1. Front Matter

      Pages 95-95
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    2. On Robust Pseudo State Estimation of Fractional Order Systems

      • Tarek Raïssi, Mohamed Aoun
      Pages 97-111

    3. Analysis of the Positivity and Stability of Fractional Discrete-Time Nonlinear Systems

      • Tadeusz Kaczorek
      Pages 113-122

    4. Continuous-Time Compartmental Switched Systems

      • Maria Elena Valcher, Irene Zorzan
      Pages 123-138

    5. Improved Controller Design for Positive Systems and Its Application to Positive Switched Systems

      • Junfeng Zhang, Linli Ma, Qian Wang, Yun Chen, Shaosheng Zhou
      Pages 139-148

  5. Positive Distributed Parameters and Positive Multidimensional Systems

    1. Front Matter

      Pages 149-149
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    2. Polyhedral Invariance for Convolution Systems over the Callier-Desoer Class

      • Jean Jacques Loiseau
      Pages 151-170

    3. On the Connection Between the Stability of Multidimensional Positive Systems and the Stability of Switched Positive Systems

      • Hugo Alonso, Paula Rocha
      Pages 171-178

    4. Positive Stabilization of a Diffusion System by Nonnegative Boundary Control

      • Jonathan N. Dehaye, Joseph J. Winkin
      Pages 179-190

    5. Positive Stabilization of a Class of Infinite-Dimensional Positive Systems

      • M. Elarbi Achhab, Joseph J. Winkin
      Pages 191-200
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Keywords

About this book

This book presents high-quality original contributions on positive systems, including topics such as: monotone dynamical systems in mathematical biology and game theory; mathematical developments for networked systems in biology, chemistry and the social sciences; linear and nonlinear positive operators; dynamical analysis, observation and control of positive distributed parameter systems; stochastic realization theory; biological systems with positive variables and positive controls; iterated function systems; nonnegative dynamic processes; and dimensioning problems for collaborative systems.

 The book comprises a selection of the best papers presented at the POSTA 2016, the 5th International Symposium on Positive Systems, which was held in Rome, Italy, in September 2016. This conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positivesystems.



Editors and Affiliations

  • Università Campus Biomedico , Rome, Italy

    Filippo Cacace, Roberto Setola

  • Sapienza Università di Roma , Rome, Italy

    Lorenzo Farina

  • Università dell’Aquila , L'Aquila, Italy

    Alfredo Germani

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