{
  "abstract": "In this contribution, we address the exact linearization of forward- and backward-flat discrete-time nonlinear systems with an arbitrary number of inputs. Building on structural properties of the flat parameterization, we show that forward-flat systems can be rendered static feedback linearizable by prolongations of suitably transformed inputs. Analogously, for backward-flat systems, we derive a constructive procedure showing that an exact linearization can be achieved by prelongations of suitably chosen functions of the system variables. In this way, we extend previously established results for two-input systems to the general m-input case. Finally, we illustrate the proposed linearization procedures by an academic example and a discrete-time model of a quadrotor.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08697",
  "author_total": 3,
  "authors": [
    {
      "name": "Johannes Schrotshamer"
    },
    {
      "name": "Bernd Kolar"
    },
    {
      "name": "Markus Schöberl"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ahd8d0nxjz45.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08697",
  "fulltext_url": null,
  "id": "1ahd8d0nxjz45",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08697",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Control and Stability of Dynamical Systems"
    ]
  ],
  "openalex": "W7220941405",
  "pdf_url": "https://arxiv.org/pdf/2610.08697",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ahd8d0nxjz45.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.08697",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08697"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "On the Exact Linearization of Multi-Input Discrete-Time Flat Systems",
  "title_text": "On the Exact Linearization of Multi-Input Discrete-Time Flat Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/1ahd8d0nxjz45",
  "venue": "arXiv",
  "versions": []
}