Pith Number

pith:23JHEM2N

pith:2026:23JHEM2NNMXOTQRJKRT64ISG25

not attested not anchored not stored refs pending

Boundedness of solutions in feedback systems with antithetic controllers

Arthur C. B. de Oliveira, Eduardo D. Sontag, Moh Kamalul Wafi

Feedback systems with antithetic controllers keep all trajectories bounded.

arxiv:2604.27290 v2 · 2026-04-30 · math.OC · cs.SY · eess.SY · math.DS

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\pithnumber{23JHEM2NNMXOTQRJKRT64ISG25}

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Record completeness

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2 Internet Archive

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

Our main result is that every trajectory of such a system is bounded. The key insight is simple: if the regulated state grows too large for too long, the feedback loop will eventually respond and push it back down.

C2weakest assumption

The feedback loop structure is such that the signal becomes strong enough to force the state to decrease whenever the regulated state exceeds a threshold and remains there long enough, relying on the specific delayed antithetic controller dynamics.

C3one line summary

Every trajectory in these antithetic feedback systems is bounded because persistent growth in the regulated state eventually triggers a strong enough delayed feedback response to force the state down and keep it controlled.

Cited by

1 paper in Pith

On input-output persistency and the interconnection of positive nonlinear systems

Receipt and verification

First computed	2026-06-30T02:18:08.693429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6d272334d6b2ee9c2295467ee2246d7713fab2a22c98ed0872050b6c7f86872

Aliases

arxiv: 2604.27290 · arxiv_version: 2604.27290v2 · doi: 10.48550/arxiv.2604.27290 · pith_short_12: 23JHEM2NNMXO · pith_short_16: 23JHEM2NNMXOTQRJ · pith_short_8: 23JHEM2N

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/23JHEM2NNMXOTQRJKRT64ISG25 \
  | 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: d6d272334d6b2ee9c2295467ee2246d7713fab2a22c98ed0872050b6c7f86872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981887664067e79d3f4e7f0e8cfed2cff8c0c2296eaea127561f9b93d23245f7",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-04-30T01:09:26Z",
    "title_canon_sha256": "7bccce8a41f4903db924a8b2e498eefffac7225444a1772e57819b6b92527de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.27290",
    "kind": "arxiv",
    "version": 2
  }
}