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Neighbourhood conditions for network stability with link uncertainty

2024/09/04 by Simone Mariano, Mariano, Simone, Michael Cantoni +1 · 1 citation
Computer Science · Engineering · #Advanced Optical Network Technologies #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Network Traffic and Congestion Control #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2409.02350

openalex publication_date 2024/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result relates to structured robust stability analysis of an input-output model for networks with link uncertainty. It constitutes a collection of integral quadratic constraints, which together imply robust stability of the uncertain networked dynamics. Each condition is decentralized in the sense that it depends on model data pertaining to the neighbourhood of a specific agent. By contrast, pre-existing conditions for the network model are link-wise decentralized, with each involving conservatively more localized problem data. A numerical example is presented to illustrate the advantage of the new broader neighbourhood conditions.

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