Flocking of the Cucker-Smale Model on General Digraphs

@article{Dong2017FlockingOT,
  title={Flocking of the Cucker-Smale Model on General Digraphs},
  author={Jiu-Gang Dong and Li Qiu},
  journal={IEEE Transactions on Automatic Control},
  year={2017},
  volume={62},
  pages={5234-5239}
}
In the literature, the study of the Cucker-Smale (C-S) flocking model is all restricted to connected undirected graphs or digraphs of some special types, containing only a single root. In this technical note, we establish the flocking behavior of the C-S model on general digraphs, which contain all existing interaction topologies in relation to the C-S model as special cases. In particular, the topology with multiple leaders is included. The flocking results are guaranteed under some conditions… CONTINUE READING
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