Interval Coordination of Multiagent Networks With Antagonistic Interactions

• 成果类型: Article
• 署名作者: Su, Housheng; Wang, Xiaotian; Gao, Zhiwei
• 署名单位: Huazhong University of Science & Technology; Northumbria University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3184652
• 发表日期: 2023
• 页码: 2552-2559
• 关键词: Multi-agent systems; Social networking (online); Upper bound; systematics; Stability criteria; security; Robustness; Bipartite consensus; interval constraint; multiagent systems; signed digraph; unique equilibrium

摘要

This article studies interval coordination problems for multiagent systems with antagonistic interactions. For strongly connected signed networks, it is shown that when the intersection of intervals imposed by agents is nonempty: the multiagent system achieves bipartite consensus with structurally balanced network; all agents' states must converge to 0, if the signed network is structurally unbalanced. We establish the consensus conditions for bipartite consensus and zero-value consensus by employing the gauge transformation and robust analysis of signed networks. When the signed networks are strongly connected and the intersection of intervals is empty, the system reaches an asymptotically stable and unique equilibrium. Moreover, the equilibrium states are only decided by the network structure and interval constraints, and are not related to initial agents' states. Associating the equilibrium of dynamics with the solution of a system of nonlinear equations, we obtain the uniqueness, stability, and continuity of equilibria. Finally, numerical simulations are presented to illustrate the theoretical results.