{
  "abstract": "This paper addresses discrete-time non-Gaussian distribution steering in deterministic nonlinear systems. Distribution steering is a problem in which a control policy is designed over a distribution of trajectories rather than optimizing a single trajectory. The challenge with nonlinear systems is that even initially Gaussian distributions evolve into non-Gaussian distributions, often precluding a closed-form representation of the probability density. A method called statistical moment steering applies a cubature-based method to approximate non-Gaussian distributions for an approximate solution to this problem. This paper provides theoretical support and details how it can be solved with sequential convex optimization. A coupled, nonlinear, second-order ordinary differential equation describing a two-dimensional oscillator is provided as a numerical example.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33022",
  "author_total": 2,
  "authors": [
    {
      "name": "Daniel C. Qi"
    },
    {
      "name": "Kenshiro Oguri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e86tedgybfdec.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33022",
  "fulltext_url": null,
  "id": "e86tedgybfdec",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33022",
  "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",
      "2207|Advanced Control Systems Optimization"
    ]
  ],
  "openalex": "W7214760449",
  "pdf_url": "https://arxiv.org/pdf/2609.33022",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e86tedgybfdec.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.33022",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33022"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Cubature-Based Statistical Moment Steering for Nonlinear, Non-Gaussian Trajectory Optimization",
  "title_text": "Cubature-Based Statistical Moment Steering for Nonlinear, Non-Gaussian Trajectory Optimization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/e86tedgybfdec",
  "venue": "arXiv",
  "versions": []
}