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Realisation of Positive Continuous-Time Linear Systems Consisting of n Subsystems with Different Fractional Order

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Challenges in Automation, Robotics and Measurement Techniques (ICA 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 440))

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Abstract

This paper presents a method for finding positive realisation of the continuous-time linear system consisting of n subsystems with different fractional orders. For the proposed method, a digraph-based algorithm was constructed. In this paper, we have shown how we can realise the transfer matrix which can be also stable. The proposed method was discussed and illustrated with some numerical examples.

Research has been financed with the funds of the Statutory Research of 2016.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

    Konrad Andrzej Markowski

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  1. Konrad Andrzej Markowski
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Correspondence to Konrad Andrzej Markowski .

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Editors and Affiliations

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

    Roman Szewczyk

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

    Cezary Zieliński

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

    Małgorzata Kaliczyńska

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Markowski, K.A. (2016). Realisation of Positive Continuous-Time Linear Systems Consisting of n Subsystems with Different Fractional Order. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Challenges in Automation, Robotics and Measurement Techniques. ICA 2016. Advances in Intelligent Systems and Computing, vol 440. Springer, Cham. https://doi.org/10.1007/978-3-319-29357-8_33

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  • DOI: https://doi.org/10.1007/978-3-319-29357-8_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29356-1

  • Online ISBN: 978-3-319-29357-8

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