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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