{
  "abstract": "In this paper, we study the emergent collective dynamics of multi-agent systems driven by infinite distributed fading memory of Volterra type. We establish a unified theoretical framework covering both first-order opinion consensus dynamics and second-order velocity alignment flocking kinematics. By introducing Dafermos past-history transformations, the governing integro-differential systems are reformulated into dynamical systems on an extended product Hilbert spaces. For first-order dynamics, we prove that fading memory inherently provides a hidden dissipative mechanism, guaranteeing unconditional global exponential consensus with or without instantaneous communication forces. For second-order dynamics, we obtain unconditional exponential flocking for the pure fading memory system and we give a sufficient condition for flocking when an instantaneous interaction is also present. In particular, this condition is always satisfied, namely the flocking occurs unconditionally, when the influence function has a divergent tail.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02454",
  "author_total": 2,
  "authors": [
    {
      "name": "Cristina Pignotti"
    },
    {
      "name": "Yu-Qing Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ax767v6j7mj15.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02454",
  "fulltext_url": null,
  "id": "ax767v6j7mj15",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02454",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "1705|Distributed Control Multi-Agent Systems"
    ]
  ],
  "openalex": "W7207695799",
  "pdf_url": "https://arxiv.org/pdf/2609.02454",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ax767v6j7mj15.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02454",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02454"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Exponential Consensus and Flocking in Multi-Agent Systems with Infinite Fading Memory",
  "title_text": "Exponential Consensus and Flocking in Multi-Agent Systems with Infinite Fading Memory",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:42Z",
  "url": "https://research.draconitic.com/paper/ax767v6j7mj15",
  "venue": "arXiv",
  "versions": []
}