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Main Authors: Li, Yushan, He, Jiabao, Dimarogonas, Dimos V.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.23023
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author Li, Yushan
He, Jiabao
Dimarogonas, Dimos V.
author_facet Li, Yushan
He, Jiabao
Dimarogonas, Dimos V.
contents Consensus networks are widely deployed in numerous civil and industrial applications. However, the process of reaching a common consensus among nodes can unintentionally reveal the network's topology to external observers by appropriate inference techniques. This paper investigates a feedback-based resistant inference design to prevent the topology from being inferred using data, while preserving the original consensus convergence. First, we characterize the conditions to preserve the original consensus, and introduce the ''accurate inference'' notion, which accounts for both the uniqueness of the solution to topology inference (solvability) and the deviation from the original topology (accuracy). Then, we employ invariant subspace analysis to characterize the solvability. Even when unique inference remains possible, we provide necessary and sufficient conditions for the feedback design to induce inaccurate inference, and give a Laplacian structure based distributed design. Simulations validate the effectiveness of the method.
format Preprint
id arxiv_https___arxiv_org_abs_2511_23023
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Resistant Topology Inference in Consensus Networks: A Feedback-Based Design
Li, Yushan
He, Jiabao
Dimarogonas, Dimos V.
Systems and Control
Consensus networks are widely deployed in numerous civil and industrial applications. However, the process of reaching a common consensus among nodes can unintentionally reveal the network's topology to external observers by appropriate inference techniques. This paper investigates a feedback-based resistant inference design to prevent the topology from being inferred using data, while preserving the original consensus convergence. First, we characterize the conditions to preserve the original consensus, and introduce the ''accurate inference'' notion, which accounts for both the uniqueness of the solution to topology inference (solvability) and the deviation from the original topology (accuracy). Then, we employ invariant subspace analysis to characterize the solvability. Even when unique inference remains possible, we provide necessary and sufficient conditions for the feedback design to induce inaccurate inference, and give a Laplacian structure based distributed design. Simulations validate the effectiveness of the method.
title Resistant Topology Inference in Consensus Networks: A Feedback-Based Design
topic Systems and Control
url https://arxiv.org/abs/2511.23023