Pith Number

pith:YTR54XNH

pith:2026:YTR54XNHT3IRHCXECR7PCEMIWF

not attested not anchored not stored refs resolved

Distributed Synchronisation of Heterogeneous Dynamical Networks With Nonlinear Diffusive Couplings

I\~naki Esnaola, Joaquin Carrasco, Lanlan Su, Yongkang Su

Relative dissipativity between adjacent agents yields local conditions for output synchronization in heterogeneous networks with nonlinear couplings.

arxiv:2605.17538 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

By exploiting relative dissipativity properties between adjacent agents, distributed conditions are established to guarantee output synchronisation. Specifically, these conditions can be verified using only local information associated with neighbouring agents and coupling links.

C2weakest assumption

Relative dissipativity properties between adjacent agents exist and can be characterized from local information to support the synchronization conditions, as invoked in the analysis of the heterogeneous network.

C3one line summary

Distributed conditions based on relative dissipativity between adjacent agents guarantee output synchronization in heterogeneous dynamical networks with nonlinear diffusive couplings despite disturbances on links.

References

17 extracted · 17 resolved · 0 Pith anchors

[1] Consensus a nd cooperation in networked multi-agent systems, 2007

[2] Consensus ﬁlters for s ensor networks and distributed sensor fusion, 2005

[3] Synchronization in complex oscillator networks and smart grids, 2005

[4] Output synchronization in networks of cyclic biochemical oscilla tors, 2007

[5] Passivity-based control of mu lti-agent systems, 2006

Receipt and verification

First computed	2026-05-20T00:04:44.660749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e3de5da79ed1138ae4147ef11188b144739afa5b1e19289ffb18fda57613b0

Aliases

arxiv: 2605.17538 · arxiv_version: 2605.17538v1 · doi: 10.48550/arxiv.2605.17538 · pith_short_12: YTR54XNHT3IR · pith_short_16: YTR54XNHT3IRHCXE · pith_short_8: YTR54XNH

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YTR54XNHT3IRHCXECR7PCEMIWF \
  | 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: c4e3de5da79ed1138ae4147ef11188b144739afa5b1e19289ffb18fda57613b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b6b8384c8de3ed1dbd7d5a00b1dc81af8fe6956cf5cea61ca222d5e823a47a1",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-17T16:45:51Z",
    "title_canon_sha256": "f8086f5f7e277c84cf1d75cdc1b83391335d57d0b5bbf52add0a81237de60164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17538",
    "kind": "arxiv",
    "version": 1
  }
}