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Addendum to "Optimal Steering of a Linear Stochastic System to a Final Probability Distribution, Part II" — arXiv:2610.40888

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.40888
License (as archived): CC0-1.0
Archived: 2026-11-03T08:15:46.808Z
SHA-256 of the archived text: ab5832394cec45a86e3054fae562f00707791bb59a2fa5144bf52c7b842b6437
Stable URL of this page: https://metraipolis.com/documento/dc_2a4e4edb693a

How to cite

Addendum to "Optimal Steering of a Linear Stochastic System to a Final Probability Distribution, Part II" — arXiv:2610.40888 — arXiv (en), https://arxiv.org/abs/2610.40888 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2a4e4edb693a (Metraipolis archive dc_2a4e4edb693a, sha256 ab5832394cec45a86e3054fae562f00707791bb59a2fa5144bf52c7b842b6437)

BibTeX

@misc{dc2a4e4edb693a,
  title = {Addendum to "Optimal Steering of a Linear Stochastic System to a Final Probability Distribution, Part II" — arXiv:2610.40888},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.40888},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2a4e4edb693a; sha256 ab5832394cec45a86e3054fae562f00707791bb59a2fa5144bf52c7b842b6437},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.40888. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We hereby fill in a gap in an induction argument used in the proof of a theorem on state-covariance controllability of linear stochastic systems in an earlier paper by the authors. The mathematical statement is true. The missing point in the proof concerns the assertion that, in the canonical single-input case, the control can be assigned arbitrary endpoint values. We amend the argument by proving a slightly stronger induction statement that permits arbitrary finite endpoint jets of the control. An independent approach to homogeneous state-covariance controllability was provided in a paper by Abdelgalil and Georgiou (2025) as a corollary of strong controllability results on $\GLp(n,\mathbb R)$, and shown herein that it extends to the case of additive noise as well.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.OC, nuovi lavori del giorno).
Categorie arXiv: Optimization and Control (math.OC) ; Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2610.40888 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T08:04:23.882Z dalla pagina https://arxiv.org/list/math.OC/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).