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Title: On the existence of optimal consensus control for the fractional Cucker–Smale model
Author: Almeida, R.
Kamocki, R.
Malinowska, A. B.
Odzijewicz, T.
Keywords: Fractional calculus
Fractional differential systems
Flocking model
Optimal control
Issue Date: 2020
Publisher: PAN
Abstract: 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.
Peer review: yes
DOI: 10.24425/acs.2020.135844
ISSN: 1230-2384
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
SCG - Artigos

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