Pith Number

pith:LFXQ7EYU

pith:2026:LFXQ7EYUP62TDBO63OT3OYAGJL

not attested not anchored not stored refs resolved

Decentralized Frequency-Domain Conditions for D-Stability with Application to DC Microgrids

Hua Geng, Shanshan Jiang, Xiang Zhu, Xiaoyu Peng, Xiuqiang He, Zelin Sun

Decentralized local frequency-domain criteria guarantee D-stability in networked linear systems and enable broadcastable parameter synthesis for DC microgrids.

arxiv:2605.13529 v1 · 2026-05-13 · eess.SY · cs.SY

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Claims

C1strongest claim

We prove that D-stability is guaranteed via local frequency-domain criteria without requiring shared subsystem models or inter-subsystem communication.

C2weakest assumption

The target region D can be mapped to an auxiliary left-half plane such that positive functions exist to certify the resulting complex-coefficient dynamics; this mapping and function construction must hold for the specific network topology.

C3one line summary

Decentralized local frequency-domain criteria guarantee D-stability in networked linear systems and enable broadcastable parameter synthesis for DC microgrids.

References

32 extracted · 32 resolved · 0 Pith anchors

[1] Hybrid oscillation damping and inertia management for distributed energy resources, 2025

[2] H ∞ design with pole placement constraints: an lmi approach, 1996

[3] Robust pole placement in lmi regions, 1999

[4] Multiobjective output-feedback control via lmi optimization, 1997

[5] An improved lmi condition for robust d- stability of uncertain polytopic systems, 2003

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:24.247918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596f0f93147fb53185dedba7b760064ae8a94295750a2a76b989b695d5b02805

Aliases

arxiv: 2605.13529 · arxiv_version: 2605.13529v1 · doi: 10.48550/arxiv.2605.13529 · pith_short_12: LFXQ7EYUP62T · pith_short_16: LFXQ7EYUP62TDBO6 · pith_short_8: LFXQ7EYU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LFXQ7EYUP62TDBO63OT3OYAGJL \
  | 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: 596f0f93147fb53185dedba7b760064ae8a94295750a2a76b989b695d5b02805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a006ac91545f52c44a618464a21e570743bf25ad094da5daa6d09d368fc86e",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-13T13:41:06Z",
    "title_canon_sha256": "a308e64de196712d5d6f441072243994fa3a7925120c48be08933150d1915b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13529",
    "kind": "arxiv",
    "version": 1
  }
}