Abstract | ||
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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 |
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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 Li | 1 | 16 | 5.00 |
Seung-Yeal Ha | 2 | 16 | 15.87 |