Passivity Compensation: A Distributed Approach for Consensus Analysis in Heterogeneous Networks

Fuente: arXiv
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Autores principales: Su, Yongkang, Khong, Sei Zhen, Su, Lanlan
Formato: Preprint
Publicado: 2025
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author Su, Yongkang
Khong, Sei Zhen
Su, Lanlan
author_facet Su, Yongkang
Khong, Sei Zhen
Su, Lanlan
contents This paper investigates a passivity-based approach to output consensus analysis in heterogeneous networks composed of non-identical agents coupled via nonlinear interactions, in the presence of measurement and/or communication noise. Focusing on agents that are input-feedforward passive (IFP), we first examine whether a shortage of passivity in some agents can be compensated by a passivity surplus in others, in the sense of preserving the passivity of the transformed open-loop system defined by the agent dynamics and network topology. We show that such compensation is only feasible when at most one agent lacks passivity, and we characterise how this deficit can be offset using the excess passivity within the group of agents. For general networks, we then investigate passivity compensation within the feedback interconnection by leveraging the passivity surplus in the coupling links to locally compensate for the lack of passivity in the adjacent agents. In particular, a distributed condition, expressed in terms of passivity indices and coupling gains, is derived to ensure output consensus of the interconnected network.
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id arxiv_https___arxiv_org_abs_2509_00865
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Passivity Compensation: A Distributed Approach for Consensus Analysis in Heterogeneous Networks
Su, Yongkang
Khong, Sei Zhen
Su, Lanlan
Systems and Control
Multiagent Systems
This paper investigates a passivity-based approach to output consensus analysis in heterogeneous networks composed of non-identical agents coupled via nonlinear interactions, in the presence of measurement and/or communication noise. Focusing on agents that are input-feedforward passive (IFP), we first examine whether a shortage of passivity in some agents can be compensated by a passivity surplus in others, in the sense of preserving the passivity of the transformed open-loop system defined by the agent dynamics and network topology. We show that such compensation is only feasible when at most one agent lacks passivity, and we characterise how this deficit can be offset using the excess passivity within the group of agents. For general networks, we then investigate passivity compensation within the feedback interconnection by leveraging the passivity surplus in the coupling links to locally compensate for the lack of passivity in the adjacent agents. In particular, a distributed condition, expressed in terms of passivity indices and coupling gains, is derived to ensure output consensus of the interconnected network.
title Passivity Compensation: A Distributed Approach for Consensus Analysis in Heterogeneous Networks
topic Systems and Control
Multiagent Systems
url https://arxiv.org/abs/2509.00865