TY - JOUR
T1 - Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights
AU - Haskovec, Jan
N1 - KAUST Repository Item: Exported on 2022-05-16
PY - 2022/4/25
Y1 - 2022/4/25
N2 - We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with nonsymmetric interaction weights. The condition prescribes smallness of the delay length relative to the decay rate of the inter-agent communication weight. The proof is carried out by a bootstrapping argument combining a decay estimate for the group velocity diameter with a variant of the Gronwall-Halanay inequality.
AB - We derive a sufficient condition for asymptotic flocking in the Cucker-Smale model with self-delay (also called reaction delay) and with nonsymmetric interaction weights. The condition prescribes smallness of the delay length relative to the decay rate of the inter-agent communication weight. The proof is carried out by a bootstrapping argument combining a decay estimate for the group velocity diameter with a variant of the Gronwall-Halanay inequality.
UR - http://hdl.handle.net/10754/677908
UR - https://linkinghub.elsevier.com/retrieve/pii/S0022247X2200275X
UR - http://www.scopus.com/inward/record.url?scp=85129276754&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2022.126261
DO - 10.1016/j.jmaa.2022.126261
M3 - Article
SN - 1096-0813
VL - 514
SP - 126261
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -