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Cucker–Smale flocking subject to random failure on general digraphs
This paper studies the Cucker–Smale (C–S) flocking subject to random failure under general interaction topologies, which contain the hierarchical leadership and rooted leadership as special cases. Furthermore, at each time step, each of the agents can fail to interact with any of its neighbors. The...
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Published in: | Automatica (Oxford) 2019-08, Vol.106, p.54-60 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | This paper studies the Cucker–Smale (C–S) flocking subject to random failure under general interaction topologies, which contain the hierarchical leadership and rooted leadership as special cases. Furthermore, at each time step, each of the agents can fail to interact with any of its neighbors. The random failures are assumed to be not independent. We prove that the flocking would occur almost surely under some conditions on the initial state of the flock only. The result suggests that the C–S flocking system on general digraphs can endure random failure in interactions. Finally, several numerical simulations are provided to illustrate the obtained results. |
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ISSN: | 0005-1098 1873-2836 |
DOI: | 10.1016/j.automatica.2019.04.031 |