Flocking in noisy environments

被引：163

作者：

Cucker, Felipe ^{[1
]}

Mordecki, Ernesto ^{[2
]}

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[2] Univ Republica, Fac Ciencias, Ctr Matemat, Montevideo 11400, Uruguay

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2008年 / 89卷 / 03期

关键词：

flocking; emergent behavior; consensus;

D O I：

10.1016/j.matpur.2007.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In recent years, a number of articles proposed mathematical models for emergent phenomena. This is the case, for instance for the flocking of birds or the schooling of fish. In particular, in [F. Cucker, S. Smale, Emergent behavior in flocks, IEEE Trans. on Autom. Control 52 (2007) 852-862], a model was proposed for flocking and it was proved that under certain conditions on the initial positions and velocities of the birds, flocking occurs. In this paper we modify this model by adding random noise to it. We prove that, under conditions similar to those just mentioned, (nearly) flocking occurs in finite time with a certain confidence. (c) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：278 / 296

页数：19

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