Pith Number

pith:PWG4EZPV

pith:2026:PWG4EZPVKR3SJK6AVCTJLPAKSZ

not attested not anchored not stored refs resolved

Continuous-time Predictor-Based Subspace Identification with Hermite basis expansions

Enrico Barbiero, Jose Antonio Rebollo, Marco Lovera

Projecting signals onto Hermite basis functions allows direct identification of continuous-time state-space models for LTI systems.

arxiv:2605.15318 v1 · 2026-05-14 · eess.SY · cs.SY · eess.SP

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The HD-PBSID method directly identifies a continuous-time state-space form by projecting signals onto Hermite basis functions, exploiting their recursive relations and derivative properties to implement steps akin to PBSID while avoiding time-shifts.

C2weakest assumption

That finite-order projection onto Hermite basis functions combined with recursive derivative application preserves sufficient information for accurate subspace identification of the underlying continuous-time LTI system without introducing significant approximation bias or loss of observability.

C3one line summary

Introduces the Hermite-Domain PBSID method for direct continuous-time subspace identification of LTI systems using Hermite basis expansions.

References

22 extracted · 22 resolved · 0 Pith anchors

[1] L. Ljung. System identification: theory for the user . Prentice Hall information and system sciences series. Prentice Hall PTR, 1999 1999

[2] Van Overschee and B 1996

[3] M. Verhaegen and V. Verdult. Filtering and system identification: a least squares approach . Cambridge University Press, 2007 2007

[4] van der Veen, J.W 2013

[5] M. Verhaegen. Identification of the deterministic part of mimo state space models given in innovations form from input-output data. Automatica, 30(1):61–74, 1994 1994

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:52.388131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8dc265f5547724abc0a8a695bc0a966058c5367a00b2fdcfb5a37ca4bf8b8e

Aliases

arxiv: 2605.15318 · arxiv_version: 2605.15318v1 · doi: 10.48550/arxiv.2605.15318 · pith_short_12: PWG4EZPVKR3S · pith_short_16: PWG4EZPVKR3SJK6A · pith_short_8: PWG4EZPV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWG4EZPVKR3SJK6AVCTJLPAKSZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7d8dc265f5547724abc0a8a695bc0a966058c5367a00b2fdcfb5a37ca4bf8b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b7ec345b611e14f9466d729e8a4247bdc7bc5d5d1ac1c100b5f85496eda6cf3",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-14T18:32:55Z",
    "title_canon_sha256": "b6928302ecf406bba48d228f90bf870ab1ac4501e81084c8e62a69ea4a170d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15318",
    "kind": "arxiv",
    "version": 1
  }
}