Title
ON THE CUCKER-SMALE FLOCKING WITH ALTERNATING LEADERS
Abstract
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.
Year
DOI
Venue
2013
10.1090/qam/1401
QUARTERLY OF APPLIED MATHEMATICS
Keywords
Field
DocType
Cucker-Smale agent,alternating leaders,rooted leadership,flocking
Flocking (texture),General topology,Simulation,Computer science,Flocking (behavior),Network topology,Flock,Artificial intelligence
Journal
Volume
Issue
ISSN
73
4
0033-569X
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Zhuchun Li1165.00
Seung-Yeal Ha21615.87