{
  "annotation_id": "fd54818d-ddaf-4038-9fa2-67af42ff411e",
  "date_created": "2026-02-17T05:53:15.160000Z",
  "date_modified": "2026-02-17T05:53:15.160000Z",
  "file_hash": "1a3a6875721e26c3f77d82ede480b269c61b701a6d3f052414665310d1ce5267",
  "private": false,
  "record": {
    "abstract": "This paper presents finite-time and fixed-time stabilization results for inhomogeneous abstract evolution problems, extending existing theories. We prove well-posedness for strong and weak solutions, and estimate upper bounds for settling times for both homogeneous and inhomogeneous systems. We generalize finite-dimensional results to infinite-dimensional systems and demonstrate partial state stabilization with actuation on a subset of the domain. The interest of these results are illustrated through an application of a heat equation with memory term.",
    "arxiv_id": "2601.08335",
    "authors": [
      "Moussa Labbadi",
      "Christophe Roman",
      "Yacine Chitour"
    ],
    "categories": [
      "eess.SY",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "On Robust Fixed-Time Stabilization of the Cauchy Problem in Hilbert Spaces",
    "url": "https://arxiv.org/abs/2601.08335",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0a45d193-3ee8-4e3b-b730-d9e0aadf2284",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}