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EnglishWe study dynamic networks described by a directed graph where the nodes are associated with MIMO systems with transfer-function matrix F(s), representing individual dynamic units, and the arcs are associated with MIMO systems with transfer-function matrix G(s), accounting for the dynamic interactions among the units. In the nominal case, we provide a topology-independent condition for the stability of all possible dynamic networks with a maximum connectivity degree, regardless of their size and interconnection structure. When node and arc transfer-function matrices are affected by norm-bounded homogeneous uncertainties, the robust condition for size- and topology-independent stability depends on the uncertainty magnitude. Both conditions, expressed as constraints for the Nyquist diagram of the poles of the transfer-function matrix H(s) = F(s)G(s), are scalable and can be checked locally to guarantee stability-preserving “plug-and-play” addition of new nodes and arcs.
Topology-independent robust stability for networks of homogeneous MIMO systems / Devia, Carlos Andres; Giordano, Giulia. - 53:2(2020), pp. 3379-3384. ((Intervento presentato al convegno 21st IFAC World Congress tenutosi a Berlin, Germany nel 11th-17th July 2020 [10.1016/j.ifacol.2020.12.1503].
| Titolo: | Topology-independent robust stability for networks of homogeneous MIMO systems | |
| Autori: | Devia, Carlos Andres; Giordano, Giulia | |
| Autori Unitn: | ||
| Titolo del volume contenente il saggio: | 21st IFAC World Congress Proceedings | |
| Luogo di edizione: | Amsterdam | |
| Casa editrice: | Elsevier B.V. | |
| Anno di pubblicazione: | 2020 | |
| Codice identificativo Scopus: | 2-s2.0-85105096193 | |
| Codice identificativo WOS: | WOS:000652592500545 | |
| Handle: | http://hdl.handle.net/11572/315607 | |
| Citazione: | Topology-independent robust stability for networks of homogeneous MIMO systems / Devia, Carlos Andres; Giordano, Giulia. - 53:2(2020), pp. 3379-3384. ((Intervento presentato al convegno 21st IFAC World Congress tenutosi a Berlin, Germany nel 11th-17th July 2020 [10.1016/j.ifacol.2020.12.1503]. | |
| Appare nelle tipologie: | 04.1 Saggio in atti di convegno (Paper in proceedings) |
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|---|---|---|---|---|
| 035_2020IFAC_DG.pdf | Versione editoriale (Publisher’s layout) |  | Open Access Visualizza/Apri |
http://hdl.handle.net/11572/315607
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