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arXiv · 2303.17321

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

Nicola Zaupa·Giulia Giordano·Isabelle Queinnec·Sophie Tarbouriech·Luca Zaccarian
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Abstract

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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Nicola Zaupa, Giulia Giordano, Isabelle Queinnec, Sophie Tarbouriech, Luca Zaccarian. 2023-03-30. Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections. https://doi.org/10.1016/j.ejcon.2024.101099

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