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Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems

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Abstract

A method for decentralized stabilization of fractional positive descriptor discrete-time linear systems is proposed. Necessary and sufficient conditions for the positivity and decentralized stabilization of the fractional positive descriptor discrete-time linear systems are established. The efficiency of proposed method is demonstrated on numerical example.

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

    Tadeusz Kaczorek

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  1. Tadeusz Kaczorek
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Correspondence to Tadeusz Kaczorek .

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Editors and Affiliations

  1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Piotr Ostalczyk

  2. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Dominik Sankowski

  3. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Jacek Nowakowski

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Kaczorek, T. (2019). Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems. In: Ostalczyk, P., Sankowski, D., Nowakowski, J. (eds) Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol 496. Springer, Cham. https://doi.org/10.1007/978-3-319-78458-8_1

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  • DOI: https://doi.org/10.1007/978-3-319-78458-8_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78457-1

  • Online ISBN: 978-3-319-78458-8

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