{"ID":2847571,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.27380","arxiv_id":"2510.27380","title":"Flatness of Two-Input Discrete-Time Systems and their Linearization","abstract":"In this contribution we discuss flat discrete-time nonlinear systems in a general setting including two special subclasses, namely, forward- and backward-flat systems. We relate rank conditions for certain submatrices of the Jacobian of the flat parameterization to the mentioned subclasses. Motivated by these rank conditions, for the case of two-input systems that possess an (x,u)-flat output, we derive a simple type of dynamic extension for the purpose of an exact linearization.","short_abstract":"In this contribution we discuss flat discrete-time nonlinear systems in a general setting including two special subclasses, namely, forward- and backward-flat systems. We relate rank conditions for certain submatrices of the Jacobian of the flat parameterization to the mentioned subclasses. Motivated by these rank cond...","url_abs":"https://arxiv.org/abs/2510.27380","url_pdf":"https://arxiv.org/pdf/2510.27380v1","authors":"[\"Johannes Schrotshamer\",\"Bernd Kolar\",\"Markus Schöberl\"]","published":"2025-10-31T11:16:05Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}