Competition-Based Resilience in Distributed Quadratic Optimization

Fuente: arXiv
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Auteurs principaux: Ballotta, Luca, Como, Giacomo, Shamma, Jeff S., Schenato, Luca
Format: Preprint
Publié: 2022
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author Ballotta, Luca
Como, Giacomo
Shamma, Jeff S.
Schenato, Luca
author_facet Ballotta, Luca
Como, Giacomo
Shamma, Jeff S.
Schenato, Luca
contents This paper proposes a novel approach to resilient distributed optimization with quadratic costs in a networked control system (e.g., wireless sensor network, power grid, robotic team) prone to external attacks (e.g., hacking, power outage) that cause agents to misbehave. Departing from classical filtering strategies proposed in literature, we draw inspiration from a game-theoretic formulation of the consensus problem and argue that adding competition to the mix can enhance resilience in the presence of malicious agents. Our intuition is corroborated by analytical and numerical results showing that i) our strategy highlights the presence of a nontrivial tradeoff between blind collaboration and full competition, and ii) such competition-based approach can outperform state-of-the-art algorithms based on Mean Subsequence Reduced.
format Preprint
id arxiv_https___arxiv_org_abs_2203_14099
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Competition-Based Resilience in Distributed Quadratic Optimization
Ballotta, Luca
Como, Giacomo
Shamma, Jeff S.
Schenato, Luca
Systems and Control
Multiagent Systems
Optimization and Control
93B70 (Primary) 68M18, 93D09, 93D50 (Secondary)
I.2.11
This paper proposes a novel approach to resilient distributed optimization with quadratic costs in a networked control system (e.g., wireless sensor network, power grid, robotic team) prone to external attacks (e.g., hacking, power outage) that cause agents to misbehave. Departing from classical filtering strategies proposed in literature, we draw inspiration from a game-theoretic formulation of the consensus problem and argue that adding competition to the mix can enhance resilience in the presence of malicious agents. Our intuition is corroborated by analytical and numerical results showing that i) our strategy highlights the presence of a nontrivial tradeoff between blind collaboration and full competition, and ii) such competition-based approach can outperform state-of-the-art algorithms based on Mean Subsequence Reduced.
title Competition-Based Resilience in Distributed Quadratic Optimization
topic Systems and Control
Multiagent Systems
Optimization and Control
93B70 (Primary) 68M18, 93D09, 93D50 (Secondary)
I.2.11
url https://arxiv.org/abs/2203.14099