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Remarks on descriptor fractional-order systems with l-memory and its stability in Lyapunov sense

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Trends in Advanced Intelligent Control, Optimization and Automation (KKA 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 577))

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Abstract

Fractional order linear descriptor systems with finite memory are studied. The formula for trajectory of such system is given. The Lyapunov-Krasovskii approach is used to analyze the stability of the considered systems.

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Acknowledgements

The work is supported by University Work No. S/WM/1/2016 of Bialystok University of Technology, by Polish Ministry of Science and Higher Education (MNiSW).

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45C, 15-351, Biaystok, Poland

    Ewa Pawłuszewicz

Authors
  1. Ewa Pawłuszewicz
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Editors and Affiliations

  1. Department of Automatics and Biomedical Engineering, AGH University of Science and Technology , Kraków, Poland

    Wojciech Mitkowski

  2. Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland

    Janusz Kacprzyk

  3. Department of Automatics and Biomedical Engineering , AGH University of Science and Technology , Kraków, Poland

    Krzysztof Oprzędkiewicz

  4. Department of Automatics and Biomedical Engineering , AGH University of Science and Technology , Kraków, Poland

    Paweł Skruch

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Pawłuszewicz, E. (2017). Remarks on descriptor fractional-order systems with l-memory and its stability in Lyapunov sense. In: Mitkowski, W., Kacprzyk, J., Oprzędkiewicz, K., Skruch, P. (eds) Trends in Advanced Intelligent Control, Optimization and Automation. KKA 2017. Advances in Intelligent Systems and Computing, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-60699-6_40

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  • DOI: https://doi.org/10.1007/978-3-319-60699-6_40

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60698-9

  • Online ISBN: 978-3-319-60699-6

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