Equivalent conditions for the synchronization of identical linear systems over arbitrary interconnections
We propose necessary and sufficient conditions for the synchronization of N identical single-input–single-output (SISO) systems, connected through a directed graph without imposing any assumption on the graph interconnection. We consider both the continuous-time and the discrete-time case, and we provide conditions that are equivalent to the uniform global exponential stability, with guaranteed convergence rate, of the closed and unbounded attractor that corresponds to the synchronization set.
Authors
- Luca Zaccarian (ORCID: https://orcid.org/0000-0003-1247-0029)
- Nicola Zaupa (ORCID: https://orcid.org/0000-0002-5644-6699)
- Isabelle Queinnec (ORCID: https://orcid.org/0000-0003-0783-1977)
- Sophie Tarbouriech (ORCID: https://orcid.org/0000-0002-0816-5614)
- Giulia Giordano (ORCID: https://orcid.org/0000-0002-8600-1738)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Toulouse III - Paul Sabatier (FR)
- Université Fédérale de Toulouse Midi-Pyrénées (FR)
- Laboratoire d'Analyse et d'Architecture des Systèmes (FR)
- University of Trento (IT)
Publication Details
- Journal
- European Journal of Control
- Published
- 2024-08-31
- DOI
- https://doi.org/10.1016/j.ejcon.2024.101099
- Citations
- 1
- Primary Topic
- Distributed Control Multi-Agent Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Agence Nationale de la Recherche