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

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Positive Systems (POSTA 2016)

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

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Abstract

In this work, we study the connection of the stability of multidimensional positive systems with the stability of switched positive systems. In a previous work, we showed that the stability of a multidimensional positive system implies the stability of a related switched positive system. Here, we investigate the reciprocal implication.

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Acknowledgements

This work was supported by FEDER funds through COMPETE – Operational Programme Factors of Competitiveness (“Programa Operacional Factores de Competitividade”) and by Portuguese funds through the Portuguese Foundation for Science and Technology (“FCT–Fundação para a Ciência e a Tecnologia”), within the project UID/MAT/04106/2013 associated with the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the project POCI-01-0145-FEDER-006933 - SYSTEC - Research Center for Systems and Technologies.

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Authors and Affiliations

  1. CIDMA, Universidade de Aveiro, Campus Universitário de Santiago, 3810-193, Aveiro, Portugal

    Hugo Alonso

  2. Universidade Lusófona do Porto, Rua Augusto Rosa, 24, 4000-098, Porto, Portugal

    Hugo Alonso

  3. SYSTEC, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, s/n, 4200-465, Porto, Portugal

    Paula Rocha

Authors
  1. Hugo Alonso
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  2. Paula Rocha
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Corresponding author

Correspondence to Hugo Alonso .

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Editors and Affiliations

  1. Università Campus Biomedico , Rome, Italy

    Filippo Cacace

  2. Sapienza Università di Roma , Rome, Italy

    Lorenzo Farina

  3. Università Campus Biomedico , Rome, Italy

    Roberto Setola

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

    Alfredo Germani

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Alonso, H., Rocha, P. (2017). On the Connection Between the Stability of Multidimensional Positive Systems and the Stability of Switched Positive Systems. In: Cacace, F., Farina, L., Setola, R., Germani, A. (eds) Positive Systems . POSTA 2016. Lecture Notes in Control and Information Sciences, vol 471. Springer, Cham. https://doi.org/10.1007/978-3-319-54211-9_13

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  • DOI: https://doi.org/10.1007/978-3-319-54211-9_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54210-2

  • Online ISBN: 978-3-319-54211-9

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