Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections - Équipe Méthodes et Algorithmes en Commande
Article Dans Une Revue European Journal of Control Année : 2024

Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections

Conditions équivalentes pour la synchronisation de systèmes linéaires identiques sur des interconnexions arbitraires

Résumé

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.
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Dates et versions

hal-04359774 , version 1 (21-12-2023)
hal-04359774 , version 2 (11-09-2024)

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Nicola Zaupa, Giulia Giordano, Isabelle Queinnec, Sophie Tarbouriech, Luca Zaccarian. Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections. European Journal of Control, 2024, pp.101099. ⟨10.1016/j.ejcon.2024.101099⟩. ⟨hal-04359774v2⟩
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