TY: JOUR
T1 - On the existence of optimal consensus control for the fractional Cucker?Smale model
A1 - Almeida, R.
A1 - Kamocki, R.
A1 - Malinowska, A. B.
A1 - Odzijewicz, T.
N2 - 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.
UR - https://ria.ua.pt/handle/10773/30272
Y1 - 2020
PB - PAN