The Smallest Possible Interaction Radius for Flock Synchronization

DOI10.1137/100812719zbMath1306.93005OpenAlexW1978496536MaRDI QIDQ3143244

Ge Chen, Zhixin Liu, Lei Guo

Publication date: 29 November 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/44b90433c83a67e2fdedda6d6ff6a779b9b23bd1

zbMATH Keywords

synchronizationspectral gappercolation theoryrandom geometric graphmultiagent systemVicsek's model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Decentralized systems (93A14) Stochastic stability in control theory (93E15) Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Animal behavior (92D50)

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Convergence rate of the asymmetric Deffuant-Weisbuch dynamics ⋮ Nonlinear Gossip ⋮ Multi-agent control: a graph-theoretic perspective ⋮ Modeling, analysis, and optimization of three-dimensional restricted visual field metric-free swarms ⋮ Consensus of flocks under \(M\)-nearest-neighbor rules

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