Hierarchical Cucker–Smale flocking under random interactions with time-varying failure probabilities

This paper studies the hierarchical Cucker–Smale flocking model of sampled-data second-order discrete-time multi-agent systems under random interactions with time-varying failure probabilities. More precisely, each agent, at each sampling time point, can fail to see any of its superiors in the hiera...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 355; no. 17; pp. 8723 - 8742
Main Authors Mu, Xiaowu, He, Yuehua
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.11.2018
Elsevier Science Ltd
Subjects
Behavior
Computer simulation
Convergence
Discrete time systems
Failure analysis
Failure rates
Mathematical models
Multiagent systems
Probability
Randomized algorithms
Sampling
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Summary:This paper studies the hierarchical Cucker–Smale flocking model of sampled-data second-order discrete-time multi-agent systems under random interactions with time-varying failure probabilities. More precisely, each agent, at each sampling time point, can fail to see any of its superiors in the hierarchy. The random failures are not independent with varying failure rate probabilities. For this model with random interactions, we prove that the flocking would occur almost surely, i.e., agents’ velocities will converge almost surely to the velocity of the overall leader of the flock which moves with a varying velocity, the relative positions between agents and the overall leader converge almost surely. Finally, several numerical simulations are provided to illustrate the obtained results.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2018.09.014