Consensus on Directed Matrix-Weighted Networks

• 成果类型: Article
• 署名作者: Su, Housheng; Miao, Suoxia
• 署名单位: Huazhong University of Science & Technology; East China Jiaotong University; Jiangxi University of Water Resources & Electric Power
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3184630
• 发表日期: 2023
• 页码: 2529-2535
• 关键词: Switches; Network topology; Eigenvalues and eigenfunctions; Computed tomography; Multi-agent systems; TOPOLOGY; Laplace equations; continuous-time; DISCRETE-TIME; matrix-weighted consensus; multiagent systems; switched system

摘要

Due to the interdependence of multidimensional states between agents in many practical scenarios, it is more accurate to model multiagent systems by matrix coupling networks. However, existing related results rely on undirected networks. In this article, we discuss the consensus problems for matrix-weighted continuous-time, discrete-time multiagent systems over fixed directed network topologies, and switched multiagent systems switching between continuous-time dynamics and discrete-time dynamics over fixed directed and switching undirected network topologies. Under the proposed matrix-weighted algorithms, for continuous-time, discrete-time, and switched multiagent systems, the consensus criteria are established over fixed directed network topologies by analysis theory and matrix theory. Besides, using Lyapunov stability theory, the consensus conditions of switched multiagent systems under undirected switching network topology are deduced. At last, some examples are given to demonstrate the correctness of the theoretical results.