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Positivity Analysis of Continuous 2D Fornasini-Marchesini Fractional Model

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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 the chapter continuous Fornasini-Marchesini type model containing partial fractional-order derivatives described by the Caputo definition will be considered. General solution formula to the state-space equations of the model will be given. Using this solution formula the positivity of such system will be analyzed and the conditions under which the system is internally positive will be derived. Considerations will be illustrated by numerical simulations.

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Acknowledgements

This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland

    Krzysztof Rogowski

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  1. Krzysztof Rogowski
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Correspondence to Krzysztof Rogowski .

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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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Rogowski, K. (2017). Positivity Analysis of Continuous 2D Fornasini-Marchesini Fractional Model. 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_16

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  • DOI: https://doi.org/10.1007/978-3-319-54211-9_16

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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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