Pith Number

pith:4C3CSBPN

pith:2026:4C3CSBPNGWSGTQXSWIUM7Y4R7K

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Distributed Synthesis of Gray-Box Distributed H2 Controllers

Fei Teng, Michael C. A. Nestor

Partially known dynamics and local data enable fully distributed design of H2 controllers using physical coupling for communication.

arxiv:2605.17597 v1 · 2026-05-17 · eess.SY · cs.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

Our method can handle unknown dynamics and offers scalable synthesis. Each agent communicates with a set of neighbors determined by the physical coupling topology of the system such that we can apply the Alternating Direction Method of Multipliers (ADMM) to solve the problem iteratively in a fully distributed fashion.

C2weakest assumption

The physical coupling topology of the system is known and can be directly used to define the neighbor communication graph for distributed synthesis, and that the available input-state dataset is sufficient to compensate for unknown dynamics in the gray-box model.

C3one line summary

Develops a scalable distributed gray-box synthesis method for H2 controllers using partial models, data, and ADMM on physical topologies, demonstrated via simulation on the IEEE 39-bus power system.

References

79 extracted · 79 resolved · 0 Pith anchors

[1] Optimized distributed control and network topology design for interconnected systems , year=

[2] Formulas for Data-Driven Control: Stabilization, Optimality, and Robustness , year=

[3] 1999 , note = 1999 · doi:10.1016/s1474-6670(17)56683-5

[4] Müller and Frank Allgöwer , abstract = 2021 · doi:10.1016/j.ifacol.2021.08.554

[5] On the Design of Structured Stabilizers for LTI Systems , year=

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:47.822272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b62905ed35a469c2f2b228cfe391faab9c3f7f02e6286cb5bad381dbf415a6

Aliases

arxiv: 2605.17597 · arxiv_version: 2605.17597v1 · doi: 10.48550/arxiv.2605.17597 · pith_short_12: 4C3CSBPNGWSG · pith_short_16: 4C3CSBPNGWSGTQXS · pith_short_8: 4C3CSBPN

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4C3CSBPNGWSGTQXSWIUM7Y4R7K \
  | 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: e0b62905ed35a469c2f2b228cfe391faab9c3f7f02e6286cb5bad381dbf415a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6442e1a34fc536402a3683d0dfd65a1dca9e51f45d1836dca0035e0c6bef3dc",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-17T18:50:15Z",
    "title_canon_sha256": "42c27c6cfca5bfb2fad97746c9787c4417837b4c985bfaed69b24d6d5084dbea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17597",
    "kind": "arxiv",
    "version": 1
  }
}