Finite-time flocking of Cucker-Smale model with unknown intrinsic dynamics
Lining Ru, Xiaoyu Li, Yicheng Liu, Xiao Wang · Discrete and Continuous Dynamical Systems - B · 2022
In this paper, we investigate the finite-time flocking problem for a modified Cucker-Smale model with unknown Hölder continuous intrinsic dynamics. Firstly, we use the energy method to show conditional finite-time flocking would occur under some conditions depending on initial data, exponent $ \beta $ and Hölder constant $ L $. Then we give an example consisting of two agents to show that for any $ \beta>0 $ or large enough $ L $, there is no unconditional finite-time flocking occurrence. Finally, we present some numerical simulations to show our theoretical results are valid.