(Un)conditional consensus emergence under perturbed and decentralized feedback controls

Mattia Bongini; Massimo Fornasier; Dante Kalise

doi:10.3934/dcds.2015.35.4071

Article Contents

2015, Volume 35, Issue 9: 4071-4094. Doi: 10.3934/dcds.2015.35.4071

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(Un)conditional consensus emergence under perturbed and decentralized feedback controls

1.
Technische Universität München, Fakultät Mathematik, Boltzmannstraße 3, D-85748 Garching
2.
Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstraße 69, 4040 Linz

Received: April 2014

Revised: September 2014

Published: May 2017

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Abstract

We study the problem of consensus emergence in multi-agent systems via external feedback controllers. We consider a set of agents interacting with dynamics given by a Cucker-Smale type of model, and study its consensus stabilization by means of centralized and decentralized control configurations. We present a characterization of consensus emergence for systems with different feedback structures, such as leader-based configurations, perturbed information feedback, and feedback computed upon spatially confined information. We characterize consensus emergence for this latter design as a parameter-dependent transition regime between self-regulation and centralized feedback stabilization. Numerical experiments illustrate the different features of the proposed designs.

Keywords:

Mathematics Subject Classification: Primary: 34D45; Secondary: 35B36, 93A14, 93B52, 93D15, 58F17.

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