Synchronization and Pinning Control on Circulating Directed Hypergraphs

• 成果类型: Article
• 署名作者: Liuzza, Davide; Della Rossa, Fabio; Lo Iudice, Francesco; De Lellis, Pietro
• 署名单位: University of Sannio; Italian National Agency New Technical Energy & Sustainable Economics Development; Polytechnic University of Milan; University of Naples Federico II
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3598680
• 发表日期: 2026
• 关键词: Complex networks; STABILITY; DYNAMICS; strategy

摘要

A pressing open problem in the study of interconnected dynamical systems is how to gauge the impact higher order interactions have on the onset of collective behaviors. In this article, we describe multibody interactions among systems using the formalism of directed hypergraphs. Introducing the novel concept of circulating hypergraphs, we formulate the synchronization and pinning control problems in hypernetwork dynamical systems. Extending the notion of balanced digraphs to the case of directed hypergraphs, we provide, for the first time, global conditions for both the spontaneous emergence of synchronization and for controlling the network to a desired trajectory set by the pinner in the presence of nonlinear time-varying coupling protocols. The effectiveness of the proposed approach is illustrated through select testbed examples.