Synchronization of the Delayed Vicsek Model

This technical note studies the well-known Vicsek model with bounded time-varying delays. We consider the case that the communication delays appear in both position and heading transmissions, which is more realistic in practice. We derive delay-dependent conditions, imposed only on the initial state...

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Veröffentlicht in:IEEE transactions on automatic control 2017-11, Vol.62 (11), p.5866-5872
Hauptverfasser: Zheng, Jianying, Dong, Jiu-Gang, Xie, Lihua
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Dong, Jiu-Gang
Xie, Lihua
description This technical note studies the well-known Vicsek model with bounded time-varying delays. We consider the case that the communication delays appear in both position and heading transmissions, which is more realistic in practice. We derive delay-dependent conditions, imposed only on the initial state, to guarantee synchronization of the delayed linear and nonlinear Vicsek models. It is further seen from our simulations that the Vicsek model is indeed sensitive to communication delays in the sense that a large delay can destroy the synchronization behavior.
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subjects Delay effects
Delayed Vicsek models
Delays
Mathematical model
multi-agent systems
Physics
Robustness
Simulation
Synchronization
title Synchronization of the Delayed Vicsek Model
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