Open AccessRobustness of Cucker–Smale flocking model
Author(s) -
Canale Eduardo,
Dalmao Federico,
Mordecki Ernesto,
Souza Max O.
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0496
Subject(s) - flocking (texture) , robustness (evolution) , failure rate , mathematics , computer science , control theory (sociology) , statistics , artificial intelligence , physics , biochemistry , chemistry , gene , control (management) , quantum mechanics
Consider a system of autonomous interacting agents moving in space, adjusting each own velocity as a weighted mean of the relative velocities of the other agents. In order to test the robustness of the model, the authors assume that each pair of agents, at each time step, can fail to connect with certain probability, the failure rate. This is a modification of the (deterministic) Flocking model introduced by Cucker and Smale (2007). They prove that, if this random failures are independent in time and space, and have linear or sub‐linear distance dependent rate of decay, the characteristic behaviour of flocking exhibited by the original deterministic model, also holds true under random failures, for all failure rates.