期刊
QUARTERLY OF APPLIED MATHEMATICS
卷 73, 期 4, 页码 693-709出版社
BROWN UNIV
DOI: 10.1090/qam/1401
关键词
Cucker-Smale agent; alternating leaders; rooted leadership; flocking
资金
- NSF of China [11401135]
- PARC-SNU
- [KRF-2009-0093137]
- [KRF-2011-0015388]
We discuss the emergent flocking behavior in a group of Cucker-Smale flocking agents under rooted leadership with alternating leaders. It is well known that the network topology regulates the emergent behaviors of flocks. All existing results on the Cucker-Smale model with leader-follower topologies assume a fixed leader during the temporal evolution process. The rooted leadership is the most general topology taking a leadership. Motivated by collective behaviors observed in the flocks of birds, swarming fishes and potential engineering applications, we consider the rooted leadership with alternating leaders; that is, at each time slice there is a leader, but it can be switched among the agents from time to time. We provide several sufficient conditions leading to the asymptotic flocking among the Cucker-Smale agents under rooted leadership with alternating leaders.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据