{
  "abstract": "In this paper, we study the feasibility of a class of optimization-based boundary control of one-dimensional macroscopic traffic flow models, where stability and invariance are achieved by a single boundary control. We define the sets of controllers to stabilize the system to a desired state via Lyapunov functionals, and to ensure forward invariance of a desired subset via boundary control barrier functionals. The control input is then selected from the intersection of those sets via a convex optimization problem. We determine sufficient conditions to ensure the existence of an optimal boundary control problem achieving both stability and invariance for a generic traffic flux function. Simulation results showcase the behavior of the proposed optimization-based controller applied to conservation laws with several traffic flow functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: IFAC-PapersOnLine 60(1), 79-84 (2026)",
  "arxiv": "2605.00004",
  "author_total": 4,
  "authors": [
    {
      "name": "Eryn Vaid"
    },
    {
      "name": "Maria Teresa Chiri"
    },
    {
      "name": "Roberto Guglielmi"
    },
    {
      "name": "Gennaro Notomista"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72pnvekrbj2b6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.00004",
  "fulltext_url": null,
  "id": "72pnvekrbj2b6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.00004",
  "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.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.00004",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72pnvekrbj2b6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2605.00004",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.00004"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Optimization-based One-side Boundary Control of LWR Traffic Models",
  "title_text": "Optimization-based One-side Boundary Control of LWR Traffic Models",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/72pnvekrbj2b6",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.ifacol.2026.09.014",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}