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Decentralized Stabilization of Descriptor Fractional Positive Discrete-Time Linear Systems with Delays

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Automation 2018 (AUTOMATION 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 743))

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Abstract

Decentralized state-feedback method for stabilization of descriptor fractional positive discrete-time linear systems with delays in state-space vector is proposed. Necessary and sufficient conditions for the decentralized stabilization of the descriptor fractional positive discrete-time linear systems with delays in state-space vector are established. The proposed method is based on decomposition of the descriptor system to standard and algebraic subsystems. Numerical example is given.

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Acknowledgment

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

    Łukasz Sajewski

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  1. Łukasz Sajewski
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Correspondence to Łukasz Sajewski .

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Editors and Affiliations

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

    Roman Szewczyk

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

    Cezary Zieliński

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

    Małgorzata Kaliczyńska

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Sajewski, Ł. (2018). Decentralized Stabilization of Descriptor Fractional Positive Discrete-Time Linear Systems with Delays. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2018. AUTOMATION 2018. Advances in Intelligent Systems and Computing, vol 743. Springer, Cham. https://doi.org/10.1007/978-3-319-77179-3_26

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  • DOI: https://doi.org/10.1007/978-3-319-77179-3_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-77178-6

  • Online ISBN: 978-3-319-77179-3

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