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, Carlos Andres; Giordano, Giulia. - (2021), pp. 884-889. (Intervento presentato al convegno ECC 2021 tenutosi a Rotterdam, Netherlands nel 29th June-2nd July 2021) [10.23919/ECC54610.2021.9655229].

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

Giordano, Giulia
2021-01-01

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.
2021
2021 European Control Conference
Piscataway, NJ
Institute of Electrical and Electronics Engineers Inc.
978-9-4638-4236-5
9781665479455
Devia, Carlos Andres; Giordano, Giulia
MIMO Networks with Heterogeneous Uncertainties: Topology-Independent Robust Stability and α-Convergence / Devia, Carlos Andres; Giordano, Giulia. - (2021), pp. 884-889. (Intervento presentato al convegno ECC 2021 tenutosi a Rotterdam, Netherlands nel 29th June-2nd July 2021) [10.23919/ECC54610.2021.9655229].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/340814
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