{
  "abstract": "We stabilize stationary states of coupled multi-species McKean--Vlasov equations by feedback control, extending a spectral approach based on the Wasserstein Hessian and a Riccati equation from a single density to a product of Wasserstein spaces. We give necessary and sufficient conditions for local exponential stabilization at a prescribed rate when only one species is actuated, together with the minimum number of control inputs required. For two species, the condition reduces to a rank condition on the Fourier coefficients of the cross-interaction kernel over the eigenspaces of the unactuated species' linearized dynamics. A two-community noisy Kuramoto model and a cell-sorting model illustrate the results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11422",
  "author_total": 3,
  "authors": [
    {
      "name": "Dante Kalise"
    },
    {
      "name": "Lucas M. Moschen"
    },
    {
      "name": "Grigorios A. Pavliotis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1fzcsesxkk0f0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11422",
  "fulltext_url": null,
  "id": "1fzcsesxkk0f0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11422",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7212234587",
  "pdf_url": "https://arxiv.org/pdf/2609.11422",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1fzcsesxkk0f0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.11422",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11422"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Control Strategies for Multi-Species Wasserstein Gradient Flows",
  "title_text": "Control Strategies for Multi-Species Wasserstein Gradient Flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/1fzcsesxkk0f0",
  "venue": "arXiv",
  "versions": []
}