{
  "abstract": "In this work we are concerned with the controllability of time-varying lumped control systems governed by a semilinear differential equation. We consider the semilinear system as a perturbation of a linear system. Assuming the underlying linear system is controllable, and the nonlinear forcing function satisfies a boundedness condition which is adapted to the underlying linear system, we show that the semilinear system is also approximately controllable",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.31131",
  "author_total": 2,
  "authors": [
    {
      "name": "Hernán R. Henríquez"
    },
    {
      "name": "Matthieu F. Pinaud"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f562yezg8y22r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.31131",
  "fulltext_url": null,
  "id": "f562yezg8y22r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.31131",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2604|Nonlinear Differential Equations Analysis"
    ]
  ],
  "openalex": "W7204895903",
  "pdf_url": "https://arxiv.org/pdf/2608.31131",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f562yezg8y22r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.31131",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.31131"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Controllability of time-varying lumped semilinear systems",
  "title_text": "Controllability of time-varying lumped semilinear systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/f562yezg8y22r",
  "venue": "arXiv",
  "versions": []
}