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Fractional Differential-Algebraic Systems with Delay: Computation of Final Dimension Initial Conditions and Inputs for Given Outputs

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Theory and Applications of Non-integer Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

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Abstract

The paper presents the problems of computation of the initial data of finite dimension and inputs for given outputs of linear stationary fractional differential-algebraic with delay system (FDAD). Necessary and sufficient conditions for existence of solution to the problem are established. Relatively observability of FDAD system is formulated and proved. It is shown that there exist the unique solutions to the problem if FDAD system is relatively observable.

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Acknowledgments

The present study was supported by a grant S/WI/1/2016 from Bialystok University of Technology and founded from the resources for research by Ministry of Science and Higher Education..

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Authors and Affiliations

  1. Faculty of Computer Science, Bialystok University of Technology, 15-351, Bialystok, Poland

    Zbigniew Zaczkiewicz

Authors
  1. Zbigniew Zaczkiewicz
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Correspondence to Zbigniew Zaczkiewicz .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Zaczkiewicz, Z. (2017). Fractional Differential-Algebraic Systems with Delay: Computation of Final Dimension Initial Conditions and Inputs for Given Outputs. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_35

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

  • eBook Packages: EngineeringEngineering (R0)

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