植绒(纹理)
耦合强度
计算机科学
星团(航天器)
粒子系统
约束(计算机辅助设计)
数学
统计物理学
物理
控制理论(社会学)
人工智能
控制(管理)
几何学
操作系统
程序设计语言
量子力学
凝聚态物理
作者
Sun-Ho Choi,Seung‐Yeal Ha
摘要
We study the emergence of the mono-cluster flocking due to the interplay between the unit-speed constraint and time-delayed interactions in the evolution of the Cucker-Smale ensemble. Several flocking models with unit-speed constraint have been extensively used in the flocking modeling of self-propelled multi-agent systems in the control theory community. Time-delayed interactions can be caused by the finite propagation speed constraint in communications. In the previous literature, these two physical mechanisms have been studied separately. In this paper, we investigate these combined physical effects in a common framework and study how the interplay between these mechanisms affects asymptotic flocking dynamics. For this, we provide a sufficient framework for a mono-cluster flocking in terms of system parameters (e.g., time-delay, coupling strength, particle numbers) and initial data. We also provide several numerical simulations and compare them with analytical results.
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