Title :
Finite-time flocking of Cucker-Smale systems
Author :
Yongzheng, Sun ; Feng, Liu ; Wang, Li ; Hongjun, Shi
Author_Institution :
School of Science, China University of Mining and Technology, Xuzhou 221116, P.R. China
Abstract :
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.
Keywords :
Chaos; Control systems; Convergence; Mathematical model; Numerical models; Protocols; Sun; Cucker-Smale system; Flocking; finite time;
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
DOI :
10.1109/ChiCC.2015.7260749
