Consensus on Matrix-Weighted Switching Networks

• 成果类型: Article
• 署名作者: Pan, Lulu; Shao, Haibin; Mesbahi, Mehran; Xi, Yugeng; Li, Dewei
• 署名单位: Shanghai Jiao Tong University; University of Washington; University of Washington Seattle
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3063115
• 发表日期: 2021
• 页码: 5990-5996
• 关键词: Switches; Multi-agent systems; Laplace equations; Symmetric matrices; Null space; Time-varying systems; Terminology; consensus; integral network; matrix-weighted networks; multiagent systems; switching networks

摘要

This article examines the consensus problem on matrix-weighted undirected switching networks. First, we introduce the matrix-weighted integral network for analyzing such networks. Under mild assumptions on the switching pattern of a sequence of networks, conditions under which average consensus can be achieved are then provided. It is shown that for matrix-weighted switching networks, the existence of a positive spanning tree in the associated integral network plays a crucial role in achieving average consensus. In particular, for periodic matrix-weighted switching networks, necessary and sufficient conditions for reaching average consensus is obtained from an algebraic perspective. Simulation results are provided to demonstrate the theoretical analysis.