Title
Cucker-Smale flocking with randomly failed interactions.
Abstract
We consider the Cucker–Smale model consisting of interacted particles involving random failure. More precisely, each pair of neighboring agents can fail to interact with a certain probability. Two cases are considered: undirected connected interactions and directed rooted interactions. Our results show that the unconditional flocking for long-range communication rate is still true independently of the failure rate probability. For short-range communication rate, conditional flocking can be established. These results, together with the previous study of Dalmao and Mordecki (2012) [8], suggest that the C–S flocking system under various interaction topologies can endure random failure in interactions.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2014.12.007
Journal of the Franklin Institute
Field
DocType
Volume
Topology,Flocking (texture),Mathematical optimization,Failure rate,Network topology,Mathematics,Distributed computing
Journal
352
Issue
ISSN
Citations 
3
0016-0032
3
PageRank 
References 
Authors
0.40
5
3
Name
Order
Citations
PageRank
Lining Ru130.40
Zhuchun Li231.07
Xiaoping Xue318617.00