On the existence of optimal consensus control for the fractional Cucker-Smale model

• Autorzy: Almeida R. , Kamocki R. , Malinowska A. B. , Odzijewicz T.

Identyfikatory

DOI

10.24425/acs.2020.135844

• Języki publikacji: EN

Abstrakty

EN

This paper addresses the nonlinear Cucker-Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.

Słowa kluczowe

EN

fractional calculus; fractional differential systems; flocking model; consensus; optimal control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2020
• Tom: Vol. 30, No. 4
• Strony: 625--651
• Opis fizyczny: Bibliogr. 39 poz., rys., wykr., wzory

Twórcy

autor

Almeida R.

• Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

autor

Kamocki R.

• Faculty of Mathematics and Computer Science, University of Lodz, 90-238 Łódź, Poland

autor

Malinowska A. B.

• Faculty of Computer Science, Bialystok University of Technology, 15-351 Białystok, Poland

autor

Odzijewicz T.

• Department of Mathematics and Mathematical Economics, SGH Warsaw School of Economics, 02-554 Warsaw, Poland

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Uwagi

R. Almeida was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), within project UIDB/04106/2020. A. B. Malinowska was supported by the Bialystok University of Technology Grant, financed from a subsidy provided by the Minister of Science and Higher Education and T. Odzijewicz by the SGH Warsaw School of Economics grant KAE/DB/20.