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Directional Bounded-Confidence Cucker-Smale Flocking

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Overview

Event synthesis

This research introduces a directional bounded-confidence extension of the Cucker-Smale (CS) flocking model. The approach decomposes pairwise relative velocities into radial and tangential channels within an instantaneous line-of-sight frame, utilizing compactly supported kernels to create state-dependent interactions. The authors establish an exact energy-dissipation identity with conserved mean velocity and prove exponential velocity consensus under a sliding-window persistent excitation condition. Additionally, a CS bounded-diameter criterion is derived to separate metric decay from aggregate directional coercivity. Simulations validate the dissipation balance and demonstrate that the proposed directional gating restores global alignment in scenarios where traditional isotropic confidence laws fail.

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Environment: simulation
Supporting report

“ter convergence guarantee. Simulations validate the exact dissipation balance and demonstrate that directional gating successfully restores global alignment in scenarios where traditional isotropic tied-confidence laws remain polarized.”

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Supporting report

“arXiv:2611.02173v1 Announce Type: new Abstract: This paper introduces a directional bounded-confidence extension of the Cucker--Smale (CS) flocking model that decomposes pairwise relative velocities into independent radial and tangential channels within the instantaneous line-of-sight frame. Gating these components via compactly supported kernels creates a time-varying, state-dependent, matrix-weighted interaction th”

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Latest development2026-11-03 05:00 UTC
Directional Bounded-Confidence Cucker-Smale Flocking

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11/3
  1. arXiv Robotics — research abstractsSignal
    Directional Bounded-Confidence Cucker-Smale Flocking

    This research introduces a directional bounded-confidence extension of the Cucker-Smale (CS) flocking model. The approach decomposes pairwise relative velocities into radial and tangential channels within an instantaneous line-of-sight frame, utilizing compactly supported kernels to create state-dependent interactions. The authors establish an exact energy-dissipation identity with conserved mean velocity and prove exponential velocity consensus under a sliding-window persistent excitation condition. Additionally, a CS bounded-diameter criterion is derived to separate metric decay from aggregate directional coercivity. Simulations validate the dissipation balance and demonstrate that the proposed directional gating restores global alignment in scenarios where traditional isotropic confidence laws fail.

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