Pith Number

pith:6IZGFWJK

pith:2026:6IZGFWJK2ACU6SOQ4QOWU6WBZQ

not attested not anchored not stored refs resolved

Observer-Based Stabilization for Linear Multi-Agent Dynamical Systems Using Generalized Frequency Variables

G. Q. Bao Tran, Shinji Hara, Yutaka Hori

A separation principle lets observers and controllers be designed independently for stable output feedback in homogeneous multi-agent networks.

arxiv:2605.17715 v1 · 2026-05-18 · eess.SY · cs.SY · math.DS

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Claims

C1strongest claim

A separation principle for networks is then established, showing that the observer and controller can be designed independently and combined to achieve a stable output feedback.

C2weakest assumption

The multi-agent network consists of homogeneous linear MIMO agents for which generalized frequency variables can be defined and applied to decouple the stability analysis of the closed-loop system and error dynamics.

C3one line summary

Establishes a separation principle for observer-based stabilization in homogeneous linear multi-agent networks via generalized frequency variables, with an example on unstable pendulum networks and conditions for controllability/observability.

References

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[1] 2013 , issn = 2013

[2] Chen, L. and Aihara, K. , journal=. Stability of genetic regulatory networks with time delay , year=

[3] A synthetic oscillatory network of transcriptional regulators , author=. Nature , volume=. 2000 , publisher= 2000

[4] 2011 , note = 2011

[5] Stability analysis of linear systems with generalized frequency variables and its applications to formation control , year=

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:54.337030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23262d92ad0054f49d0e41d6a7ac1cc31501df0f1502bb77adeeacb852c4547

Aliases

arxiv: 2605.17715 · arxiv_version: 2605.17715v1 · doi: 10.48550/arxiv.2605.17715 · pith_short_12: 6IZGFWJK2ACU · pith_short_16: 6IZGFWJK2ACU6SOQ · pith_short_8: 6IZGFWJK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6IZGFWJK2ACU6SOQ4QOWU6WBZQ \
  | 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: f23262d92ad0054f49d0e41d6a7ac1cc31501df0f1502bb77adeeacb852c4547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8b59dc1b1548ba8c0a9a1920f5c3568f57a627f53719a8d015aa391f818cca",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-18T00:32:23Z",
    "title_canon_sha256": "21bbf93695ecedd2e1ff6b5ac5d803a6584335d89b693674c92983ba254efe9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17715",
    "kind": "arxiv",
    "version": 1
  }
}