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

Almeida R., Kamocki R., Malinowska A. B., Odzijewicz T.

Archives of Control Sciences

2020

Vol. 30, No. 4

625--651

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.