Convergence to consensus of the general finite-dimensional Cucker-Smale\n model with time-varying delays

2017/07/17 by Cristina Pignotti, Emmanuel Trélat, Pignotti, Cristina +1
Computer Science · Medicine · #Distributed Control Multi-Agent Systems #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Neural Networks Stability and Synchronization #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1707.05020

openalex publication_date 2017/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the celebrated Cucker-Smale model in finite dimension, modelling\ninteracting collective dynamics and their possible evolution to consensus. The\nobjective of this paper is to study the effect of time delays in the general\nmodel. By a Lyapunov functional approach, we provide convergence results to\nconsensus for symmetric as well as nonsymmetric communication weights under\nsome structural conditions.\n

Citations

• Clustering and asymptotic behavior in opinion formation
• Heterophilious Dynamics Enhances Consensus

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