Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909311468306432 |
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| author | Zaupa, Nicola Giordano, Giulia Queinnec, Isabelle Tarbouriech, Sophie Zaccarian, Luca |
| author_facet | Zaupa, Nicola Giordano, Giulia Queinnec, Isabelle Tarbouriech, Sophie Zaccarian, Luca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17321 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections Zaupa, Nicola Giordano, Giulia Queinnec, Isabelle Tarbouriech, Sophie Zaccarian, Luca Systems and Control Optimization and Control 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. |
| title | Equivalent Conditions for the Synchronization of Identical Linear Systems over Arbitrary Interconnections |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2303.17321 |