Consensus on Matrix-Weighted Switching Networks

被引：22
|
作者：
Pan, Lulu [1 ,2 ,3 ]
Shao, Haibin [1 ,2 ,3 ]
Mesbahi, Mehran [4 ]
Xi, Yugeng [1 ,2 ,3 ]
Li, Dewei [1 ,2 ,3 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai, Peoples R China
[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
[3] Shanghai Engn Res Ctr Intelligent Control & Manag, Shanghai 200240, Peoples R China
[4] Univ Washington, Dept Aeronaut & Astronaut, Seattle, WA 98195 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 12期
基金：
上海市自然科学基金; 美国国家科学基金会;
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; MULTIAGENT SYSTEMS; SYNCHRONIZATION; OBSERVABILITY; CONVERGENCE; AGENTS;
D O I：
10.1109/TAC.2021.3063115
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：5990 / 5996
页数：7
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