Asymptotic dynamics for the Cucker-Smale model with velocity control

2023/02/07 by Junhyeok Byeon, Byeon, Junhyeok
Computer Science · Physics and Astronomy · Social Sciences · #34D05 34D09 82C22 #Classical Analysis and ODEs (math.CA) #Distributed Control Multi-Agent Systems #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2302.03272

openalex publication_date 2023/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Cucker-Smale model with a velocity control function. The Cucker-Smale model design the emergence of consensus in terms of flocking. A proposed model encompasses several Cucker-Smale models, such as a speed limit model, a relativistic model, and an almost unit speed model. We provide collective behaviors of the proposed model, like mono or bi-cluster flocking, sticking, and collision avoidance, depending on the regularity and singularity of communication weight at the origin. In particular, we provide a sufficient framework to guarantee a positive lower bound of the distance between agents under strongly singular communications.

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