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Avoiding Collisions and Pattern Formation in Flocks

We study the pattern formation problem of the Cucker--Smale (CS) flocking model. A distributed CS type flocking model for formation control is introduced based on our previous collision-avoiding model. We present two sufficient frameworks guaranteeing the emergence of flocking and formation achievement in terms of the initial state and system parameters. In the first framework, we show a threshold phenomenon between unconditional and conditional flocking, embodying all three rules of Reynolds: velocity alignment, cohesion, and collision avoidance. Furthermore, with an additional condition on the initial state and system parameters, we show that the agents also converge to a desired spatial configuration in the second framework. Finally, we perform some numerical simulations to illustrate our theoretical results.

Ketersediaan

Informasi Detail

Judul Seri

SIAM JOURNAL ON APPLIED MATHEMATICS; Vol.81 No.5 September - October 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 2111 - 2129

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

PATTERN FORMATION
FLOCKING
COLLISION AVOIDANCE
CUCKER--SMALE MODEL

Info Detail Spesifik

https://doi.org/10.1137/21M1390141

Pernyataan Tanggungjawab

Jiu-Gang Dong

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