文章基本信息

标题：Semi-linear Poisson-mediated Flocking in a Cucker-Smale Model ⁎ ⁎
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作者：Christos N. Mavridis ; Amoolya Tirumalai ; John S. Baras 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：404-409
DOI：10.1016/j.ifacol.2021.06.098
语种：English
出版社：Elsevier
摘要：AbstractWe propose a family of compactly supported parametric interaction functions in the general Cucker-Smale flocking dynamics such that the mean-field macroscopic system of mass and momentum balance equations with non-local damping terms can be converted from a system of partial integro-differential equations to an augmented system of partial differential equations in a compact set. We treat the interaction functions as Green’s functions for an operator corresponding to a semi-linear Poisson equation and compute the density and momentum in a translating reference frame, i.e. one that is taken in reference to the flock’s centroid. This allows us to consider the dynamics in a fixed, flock-centered compact set without loss of generality. We approach the computation of the non-local damping using the standard finite difference treatment of the chosen differential operator, resulting in a tridiagonal system which can be solved quickly.
关键词：KeywordsControl of Distributed Parameter SystemsNetworked Control SystemsLarge Scale Systems