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

  • Agnieszka B. Malinowska
  • Tatiana Odzijewicz
  • Ewa Schmeidel
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (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.

Keywords

Cucker–Smale model Consensus Fractional optimal control Optimal solution Fractional analysis 

Notes

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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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Agnieszka B. Malinowska
    • 1
  • Tatiana Odzijewicz
    • 2
  • Ewa Schmeidel
    • 3
  1. 1.Faculty of Computer ScienceBialystok University of TechnologyBialystokPoland
  2. 2.Department of Mathematics and Mathematical EconomicsWarsaw School of EconomicsWarsawPoland
  3. 3.Faculty of Mathematics and Computer ScienceUniversity of BialystokBialystokPoland

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