Pith Number

pith:LJOTOOJX

pith:2026:LJOTOOJXSSNIICT2VQG7RSC7IX

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Guaranteed cost structured control in infinite-horizon linear-quadratic cooperative differential games

Aniruddha Roy, Pavankumar Tallapragada

Pareto optimal controls in infinite-horizon linear-quadratic cooperative games with output feedback belong to the class of feedback guaranteed cost structured controls.

arxiv:2605.13103 v1 · 2026-05-13 · math.OC · cs.SY · eess.SY

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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

We show that if Pareto optimal controls exist, they belong to the class of feedback GCSCs.

C2weakest assumption

The system must admit a linear-quadratic infinite-horizon structure that allows the derivation of monotonicity properties and suboptimality bounds for the admissible weight set.

C3one line summary

Feedback GCSC bounds the total weighted cost in cooperative LQ games under output feedback and includes Pareto optima when they exist.

References

24 extracted · 24 resolved · 0 Pith anchors

[1] T. Basar and G. Olsder,Dynamic Noncooperative Game Theory: 2nd Edition, ser. Classics in Applied Mathematics. SIAM, 1999 1999

[2] Engwerda,LQ dynamic optimization and differential games 2005

[3] Networked control design for coalitional schemes using game-theoretic methods, 2017

[4] Cooperative control of power system load and frequency by using differential games, 2015

[5] Cooperative differential game- based optimal control and its application to power systems, 2019

Receipt and verification

First computed	2026-05-18T03:08:58.221715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5d373937949a840a7aac0df8c85f45c2c91c045577120637278e47fc0a98a7

Aliases

arxiv: 2605.13103 · arxiv_version: 2605.13103v1 · doi: 10.48550/arxiv.2605.13103 · pith_short_12: LJOTOOJXSSNI · pith_short_16: LJOTOOJXSSNIICT2 · pith_short_8: LJOTOOJX

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJOTOOJXSSNIICT2VQG7RSC7IX \
  | 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: 5a5d373937949a840a7aac0df8c85f45c2c91c045577120637278e47fc0a98a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c5e9bc7388d83e3982a70b1337b9cdce6e62af3425363a459b339ab7759cc2",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-13T07:13:52Z",
    "title_canon_sha256": "56a5daca6dc5231677ebe78cc9c7a0c7d11557ee11feeab97320868e25fa5d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13103",
    "kind": "arxiv",
    "version": 1
  }
}