单位球面上舆论动力学的广义仓本模型

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2024-10-02 DOI:10.1016/j.automatica.2024.111957

Ziqiao Zhang , Said Al-Abri , Fumin Zhang

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引用次数: 0

摘要

在本文中，我们为提供丰富意见行为的多机器人系统开发了新颖的单位球上的意见动态。单位圆球上的意见演化是基于与无符号图上邻居的互动而设计的。圆圈上的舆论动力学与著名的仓本模型不谋而合。然后，我们提出了一个高维舆论动力学模型，它将 Kuramoto 模型推广到维度大于 1 的单位球。我们描述了所提出的单位球上舆论动力学均衡的稳定性，并证明了某些均衡是稳定的。通过在单位圆和三维单位球上的模拟，说明了所提模型的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A generalized Kuramoto model for opinion dynamics on the unit sphere

In this paper, we develop novel opinion dynamics on the unit sphere for multi-agent systems that provide rich opinion behaviors. The evolution of opinions on the unit sphere is designed based on interactions with neighbors on unsigned graphs. The opinion dynamics on the circle coincide with the well-known Kuramoto model. We then propose a high-dimensional model for opinion dynamics that generalizes the Kuramoto model to unit spheres with dimension higher than one. We characterize the stability of equilibria for the proposed opinion dynamics on the unit sphere, and show that some equilibria are stable. The performance of the proposed model is illustrated through simulations on both the unit circle and the three-dimensional unit sphere.

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.