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Topology-independent robust stability of homogeneous dynamic networks

BLANCHINI, Franco
•
Casagrande, D
•
GIORDANO, Giulia
•
VIARO, Umberto
  • conference object

Abstract
The paper presents conditions for the stability of a dynamical network described by a directed graph, whose nodes represent dynamical systems characterised by the same transfer function F(s) and whose edges account for the interactions between pairs of nodes. In turn, these interactions depend via a transference G(s) on the outputs of the subsystems associated with the connected nodes. The stability conditions are topology-independent, in that they hold for all possible connections of the nodes, and robust, in that they allow for uncertainties in the determination of the transferences. Two types of interactions are considered: bidirectional and unidirectional. In the first case, if nodes i and j are connected, both node i affects node j and node j affects node i, while in the second case only one of the two occurrences is admitted. The robust stability conditions are expressed as constraints for the Nyquist diagram of H = FG.
DOI
10.1016/j.ifacol.2017.08.501
WOS
WOS:000423845200282
Archivio
https://hdl.handle.net/11390/1114559
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85031771841
Diritti
closed access
Soggetti
  • Dynamical network

  • Directed graph

  • Feedback

  • Robust stability

  • Nyquist diagram

Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
Vedi dettagli
google-scholar
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