TY - JOUR
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.
L1 - http://www.czasopisma.pan.pl/Content/118766/PDF/art01.pdf
L2 - http://www.czasopisma.pan.pl/Content/118766
PY - 2020
IS - No 4
EP - 651
DO - 10.24425/acs.2020.135844
KW - fractional calculus
KW - fractional differential systems
KW - flocking model
KW - consensus
KW - optimal control
A1 - Almeida, Ricardo
A1 - Kamocki, Rafał
A1 - Malinowska, Agnieszka B.
A1 - Odzijewicz, Tatiana
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 30
DA - 2020.12.28
T1 - On the existence of optimal consensus control for the fractional Cucker–Smale model
SP - 625
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/118766
T2 - Archives of Control Sciences
ER -