{
  "abstract": "Fast charging of all-solid-state batteries is limited by solid-state transport in the positive electrode, which can generate substantial concentration nonuniformity under aggressive charging. We formulate fast charging as a minimum-time boundary-control problem for a one-dimensional cathode diffusion model, subject to a terminal average-concentration target and a path constraint on the bulk-to-surface concentration difference. For constant diffusivity, we prove existence of a global minimizer and show that every minimum-time policy is maximal-feasible: the charging rate remains at its upper bound until the transport constraint becomes active and subsequently follows the active boundary. This structure motivates an offline-online strategy in which precomputed PDE responses are combined through low-dimensional algebraic operations, avoiding repeated PDE-constrained optimization. Numerical refinement and perturbation studies verify the predicted control structure and constraint satisfaction. We further investigate concentration-dependent diffusivity, quantify the robustness of the constant-diffusivity policy under model transfer, and introduce a blockwise nonlinear correction that restores admissibility when the transferred policy violates the transport constraint.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26524",
  "author_total": 4,
  "authors": [
    {
      "name": "Mustapha Bouchaara"
    },
    {
      "name": "Abdessamad Belfakir"
    },
    {
      "name": "Abderrahmane Habbal"
    },
    {
      "name": "Ahmed Ratnani"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bd76j74dxjjp4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26524",
  "fulltext_url": null,
  "id": "bd76j74dxjjp4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26524",
  "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",
      "2208|Advanced Battery Materials and Technologies"
    ]
  ],
  "openalex": "W7214074915",
  "pdf_url": "https://arxiv.org/pdf/2609.26524",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bd76j74dxjjp4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.26524",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26524"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Optimal Fast Charging of All-Solid-State Batteries under Cathode Transport Constraints",
  "title_text": "Optimal Fast Charging of All-Solid-State Batteries under Cathode Transport Constraints",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/bd76j74dxjjp4",
  "venue": "arXiv",
  "versions": []
}