Finite-time flocking of Cucker-Smale systems
Sun Yongzheng, Feng Liu, Li Wang, Shi Hongjun · 2015
In this paper, we investigate the finite flocking problem of Cucker-Smale systems. We propose a continuous non-Lipschitz protocol for realizing flocking in finite time. Both our theoretical and numerical results uncover a power-law relationship between the convergence time and the number of individuals. Our results show that the individuals in groups with high density can transit rapidly to ordered collective motion.