Interval-constraint multiagent systems: Global attractivity and structural stability of equilibria

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-09-02 DOI:10.1016/j.automatica.2025.112566

Fengqiu Liu , Kuize Zhang , Yuhu Wu , Xiaoping Xue

引用次数: 0

Abstract

This paper focuses on the dynamic behavior of an interval-constraint multiagent system. Each agent has a constraint interval that limits its potential consensus values, achieved by encoding a nonsmooth piecewise function into the agent. In addition, the underlying graphs considered are strongly connected. First, a dichotomy of equilibria is identified: either a unique non-consensus equilibrium point or multiple consensus points, depending on whether the intersection of the constraint intervals is empty or not. Then, the set of equilibria is proven to be a global attractor. Structural stability of such a system is also proven based on real-analysis methods, showing that the equilibria have continuous dependence on changes of the constraint intervals. Three running examples are used to illustrate the proposed results.

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区间约束多智能体系统：均衡的全局吸引性和结构稳定性

研究了区间约束多智能体系统的动态行为。每个代理都有一个限制其潜在共识值的约束区间，这是通过将一个非光滑的分段函数编码到代理中来实现的。此外，考虑的底层图是强连接的。首先，根据约束区间的交集是否为空，确定了平衡点的二分类：一个唯一的非一致平衡点或多个一致点。然后，证明了均衡集是一个全局吸引子。用实分析方法证明了该系统的结构稳定性，表明平衡点对约束区间的变化具有连续的依赖性。用三个运行实例来说明所提出的结果。

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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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.