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On the Existence of Optimal Controls for the Fractional Continuous-Time Cucker–Smale Model

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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))

Abstract

In this work the Cucker–Smale fractional optimal control problem is proposed and studied. We show that considered problem has an optimal solution and we derive necessary conditions for this solution.

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Acknowledgments

Research supported by the Polish National Science Center grant on the basis of decision DEC-2014/15/B/ST7/05270.

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Authors and Affiliations

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

    Agnieszka B. Malinowska

  2. Department of Mathematics and Mathematical Economics, Warsaw School of Economics, 02-554, Warsaw, Poland

    Tatiana Odzijewicz

  3. Faculty of Mathematics and Computer Science, University of Bialystok, 15–245, Bialystok, Poland

    Ewa Schmeidel

Authors
  1. Agnieszka B. Malinowska
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  2. Tatiana Odzijewicz
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  3. Ewa Schmeidel
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Corresponding author

Correspondence to Tatiana Odzijewicz .

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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Malinowska, A.B., Odzijewicz, T., Schmeidel, E. (2017). On the Existence of Optimal Controls for the Fractional Continuous-Time Cucker–Smale Model. 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_21

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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