Thermodynamic Cucker-Smale ensemble with unit speed and its sufficient framework for collision avoidance

2023/04/03 by Hyunjin Ahn, Junhyeok Byeon, Ahn, Hyunjin +3
Computer Science · Physics and Astronomy · Social Sciences · #82C10 82C22 35B37 #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.2304.00872

openalex publication_date 2023/04/03 · openalex created_date 2023/04/06 · openalex updated_date 2026/08/01

Abstract

We investigate a Cucker-Smale-type flocking model for multi-agent systems that move with constant speed. The model incorporates both kinematic observables and internal energy (temperatures) in the agents' interactions. Traditionally, collision avoidance in the absence of speed limitation is achieved by introducing singularities into the communication rule. However, when a unit speed constraint is applied, the mechanism of collision avoidance can differ, and the singularity may not necessarily prevent collisions. In this paper, we propose a framework that generates collision avoidance, asymptotic flocking, thermal equilibrium, and strict spacing between agents, subject to sufficient conditions expressed by the initial condition, system parameters, and degree of singularity.

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