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Electrical Engineering and Systems Science > Systems and Control

arXiv:2509.00865 (eess)
[Submitted on 31 Aug 2025 ]

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

Title: 被动性补偿:异构网络中一致性的分布式方法

Authors:Yongkang Su, Sei Zhen Khong, Lanlan Su
Abstract: 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.
Abstract: 本文研究了一种基于无源性的方法,用于在存在测量和/或通信噪声的情况下,由非相同代理通过非线性相互作用耦合的异构网络中的输出共识分析。 聚焦于输入前馈无源(IFP)代理,我们首先检查某些代理的无源性不足是否可以在保持由代理动态和网络拓扑定义的变换开环系统的无源性的意义上,通过其他代理的无源性盈余进行补偿。 我们证明这种补偿只有在最多一个代理缺乏无源性时才可行,并且我们表征了如何利用代理组内的过剩无源性来抵消这一缺陷。 对于一般的网络,我们随后通过利用耦合链接中的无源性盈余,在反馈互连中研究无源性补偿,以局部补偿相邻代理的无源性不足。 特别是,推导出一个分布式条件,该条件以无源性指标和耦合增益为表达式,以确保互连网络的输出共识。
Subjects: Systems and Control (eess.SY) ; Multiagent Systems (cs.MA)
Cite as: arXiv:2509.00865 [eess.SY]
  (or arXiv:2509.00865v1 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2509.00865
arXiv-issued DOI via DataCite

Submission history

From: Yongkang Su [view email]
[v1] Sun, 31 Aug 2025 14:21:03 UTC (748 KB)
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