@Article{JNMA-4-736,
author = {Chen , Maoli and Liu , Yicheng},
title = {Flocking of Multi-Particle Swarm with Group Coupling Structure and Measurement Delay},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {4},
number = {4},
pages = {736--752},
abstract = {<p style="text-align: justify;">We investigate the flocking conditions of a group coupling system with time delays, in which the communication between particles includes
inter-group and intra-group interactions, and the time delay comes from the
theory of moving object observation. As an effective model, we introduce a
system of nonlinear functional differential equations to describe its dynamic
evolution mechanism. By constructing two differential inequalities on velocity
and velocity fluctuation from a continuity argument, and using the Lyapunov
functional approach, we present some sufficient conditions for the existence
of asymptotic flocking solutions to the coupling system, in which an upper
bound of the delay allowed by the system is quantitatively given to ensure the
emergence of flocking behavior. All results are novel and can be illustrated by
using some specific numerical simulations.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.736},
url = {http://global-sci.org/intro/article_detail/jnma/21909.html}
}