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Transfer Matrices with Positive Coefficients of Positive Descriptor Continuous-Time Linear Systems

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Automation 2019 (AUTOMATION 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 920))

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Abstract

Descriptor positive continuous-time linear system with transfer matrices having only positive coefficients are analyzed. It is shown that if the positive descriptor system is asymptotically stable then its transfer matrix has only positive coefficients. The realization problem for the class of descriptor positive systems is formulated and solved. Considerations are illustrated by numerical examples.

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Acknowledgment

This work was supported by National Science Centre in Poland under work No. 2017/27/B/ST7/02443.

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Authors and Affiliations

  1. Białystok University of Technology, Wiejska 45D, 15-351, Białystok, Poland

    Tadeusz Kaczorek & Łukasz Sajewski

Authors
  1. Tadeusz Kaczorek
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  2. Łukasz Sajewski
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Corresponding author

Correspondence to Łukasz Sajewski .

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Editors and Affiliations

  1. Industrial Research Institute for Automation and Measurements PIAP Al, Warsaw, Poland

    Roman Szewczyk

  2. Industrial Research Institute for Automation and Measurements PIAP Al, Warsaw, Poland

    Cezary Zieliński

  3. Industrial Research Institute for Automation and Measurements PIAP Al, Warsaw, Poland

    Małgorzata Kaliczyńska

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Kaczorek, T., Sajewski, Ł. (2020). Transfer Matrices with Positive Coefficients of Positive Descriptor Continuous-Time Linear Systems. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-030-13273-6_9

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