MIMO Networks with Heterogeneous Uncertainties: Topology-Independent Robust Stability and α-Convergence

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Abstract

We consider network systems where the node dynamics are described by identical MIMO LTI subsystems with transfer-function matrix F(s), while the dynamic interactions associated with the bidirectional arcs are described by identical MIMO LTI subsystems with transfer-function matrix G(s); the dynamics of the individual nodes and arcs are affected by heterogeneous, norm-bounded uncertainties. We provide a topology-independent condition for the robust stability of all possible network systems with a maximum connectivity degree, regardless of their size and interconnection structure. We also give a topology-independent condition that robustly guarantees not only stability, but also α-convergence (i.e. all poles having real part less than a negative – α). The proposed frequency-domain conditions are scalable and can be evaluated locally, also for large-scale networks where nodes and arcs can be added or removed in real time. The conditions are applied to assess the robust α-convergence of a suspension bridge system of arbitrary size.
Original languageEnglish
Title of host publicationProceedings of the European Control Conference (ECC 2021)
PublisherIEEE
Pages884-889
ISBN (Electronic)978-9-4638-4236-5
ISBN (Print)978-1-6654-7945-5
DOIs
Publication statusPublished - 2021
Event2021 European Control Conference (ECC) - Virtual , Netherlands
Duration: 29 Jun 20212 Jul 2021

Conference

Conference2021 European Control Conference (ECC)
CountryNetherlands
CityVirtual
Period29/06/212/07/21

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