Consensus approximation and impulsive control for a class of uncertain multi-agent dynamics

Fuente: arXiv
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Autores principales: Nagy, Zoltan, Morarescu, Irinel-Constantin, Busoniu, Lucian
Formato: Preprint
Publicado: 2025
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author Nagy, Zoltan
Morarescu, Irinel-Constantin
Busoniu, Lucian
author_facet Nagy, Zoltan
Morarescu, Irinel-Constantin
Busoniu, Lucian
contents This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in opinion dynamics where the confidence given to the peers varies in time. Firstly, we establish conditions under which practical upper and lower bounds on the consensus value can be determined. Secondly, we propose control strategies for allocating a given control budget to shift agent states towards a desired consensus value despite the uncertainty. We provide computationally efficient linear programming-based approaches for both problems and validate the obtained results in numerical simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10118
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Consensus approximation and impulsive control for a class of uncertain multi-agent dynamics
Nagy, Zoltan
Morarescu, Irinel-Constantin
Busoniu, Lucian
Systems and Control
This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in opinion dynamics where the confidence given to the peers varies in time. Firstly, we establish conditions under which practical upper and lower bounds on the consensus value can be determined. Secondly, we propose control strategies for allocating a given control budget to shift agent states towards a desired consensus value despite the uncertainty. We provide computationally efficient linear programming-based approaches for both problems and validate the obtained results in numerical simulations.
title Consensus approximation and impulsive control for a class of uncertain multi-agent dynamics
topic Systems and Control
url https://arxiv.org/abs/2511.10118