{"ID":2838879,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.16008","arxiv_id":"2511.16008","title":"Data informativity for stabilization of discrete-time infinite-dimensional systems","abstract":"This paper develops a data-driven framework for stabilization of discrete-time infinite-dimensional systems. We investigate informativity for stabilization, defined as the existence of a feedback gain that stabilizes all systems compatible with the available input-state data. Assuming that infinite-length data are Bessel sequences, we first establish a sufficient condition for data informativity in the noise-free case. We next show that this sufficient condition is also necessary under a mild data assumption when the input space is one-dimensional. Furthermore, if the state sequence forms a frame, then the sufficient condition can be extended to the case of noisy data. Finally, when the unstable part of the true system is known to be finite-dimensional, we derive a necessary and sufficient condition for data informativity of finite-length data.","short_abstract":"This paper develops a data-driven framework for stabilization of discrete-time infinite-dimensional systems. We investigate informativity for stabilization, defined as the existence of a feedback gain that stabilizes all systems compatible with the available input-state data. Assuming that infinite-length data are Bess...","url_abs":"https://arxiv.org/abs/2511.16008","url_pdf":"https://arxiv.org/pdf/2511.16008v1","authors":"[\"Masashi Wakaiki\"]","published":"2025-11-20T03:07:38Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}