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.
MIMO Networks with Heterogeneous Uncertainties: Topology-Independent Robust Stability and α-Convergence / Devia, C. A.; Giordano, G.. - (2021), pp. 884-889. ((Intervento presentato al convegno 2021 European Control Conference, ECC 2021 tenutosi a nld nel 2021 [10.23919/ECC54610.2021.9655229].
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Titolo: | MIMO Networks with Heterogeneous Uncertainties: Topology-Independent Robust Stability and α-Convergence | |
Autori: | Devia, C. A.; Giordano, G. | |
Autori Unitn: | ||
Titolo del volume contenente il saggio: | 2021 European Control Conference, ECC 2021 | |
Luogo di edizione: | - | |
Casa editrice: | Institute of Electrical and Electronics Engineers Inc. | |
Anno di pubblicazione: | 2021 | |
Codice identificativo Scopus: | 2-s2.0-85124894930 | |
Codice identificativo WOS: | WOS:000768455200127 | |
ISBN: | 978-9-4638-4236-5 | |
Handle: | http://hdl.handle.net/11572/340814 | |
Citazione: | MIMO Networks with Heterogeneous Uncertainties: Topology-Independent Robust Stability and α-Convergence / Devia, C. A.; Giordano, G.. - (2021), pp. 884-889. ((Intervento presentato al convegno 2021 European Control Conference, ECC 2021 tenutosi a nld nel 2021 [10.23919/ECC54610.2021.9655229]. | |
Appare nelle tipologie: | 04.1 Saggio in atti di convegno (Paper in proceedings) |