Neighbourhood conditions for network stability with link uncertainty

Fuente: arXiv
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Autores principales: Mariano, Simone, Cantoni, Michael
Formato: Preprint
Publicado: 2024
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author Mariano, Simone
Cantoni, Michael
author_facet Mariano, Simone
Cantoni, Michael
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02350
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Neighbourhood conditions for network stability with link uncertainty
Mariano, Simone
Cantoni, Michael
Systems and Control
Dynamical Systems
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.
title Neighbourhood conditions for network stability with link uncertainty
topic Systems and Control
Dynamical Systems
url https://arxiv.org/abs/2409.02350