{"ID":2832714,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.06136","arxiv_id":"2512.06136","title":"Data-driven Synchronization for Network Systems with Noiseless Data","abstract":"For a collection of homogeneous LTI systems that is interconnected by a protocol, given the network topology and the system model, one may obtain a feedback gain to synchronize the network. However, the model-based methods cannot be applied in case the system model is unknown. Therefore, in this paper, we study the data-driven synchronization problem for homogeneous networks. In particular, given a collection of LTI systems, we collect the input-state data from one individual system. Then, given the network topology, we provide data-based necessary and sufficient conditions for synchronizability. Once the conditions are satisfied, one can also obtain a feedback gain directly from data to synchronize the network with the corresponding design method provided in this paper. Finally, we illustrate our results with a numerical simulation.","short_abstract":"For a collection of homogeneous LTI systems that is interconnected by a protocol, given the network topology and the system model, one may obtain a feedback gain to synchronize the network. However, the model-based methods cannot be applied in case the system model is unknown. Therefore, in this paper, we study the dat...","url_abs":"https://arxiv.org/abs/2512.06136","url_pdf":"https://arxiv.org/pdf/2512.06136v1","authors":"[\"Yongzhang Li\",\"M. Kanat Camlibel\"]","published":"2025-12-05T20:32:36Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}