State Consensus for Discrete-Time Multiagent Systems Over Time-Varying Graphs

被引：36
|
作者：
Zhang, Ji-Lie [1 ]
Chen, Xiang [2 ]
Gu, Guoxiang [3 ]
机构：
[1] Southwest Jiaotong Univ, Sch Informat Sci & Technol, Chengdu 611756, Peoples R China
[2] Univ Windsor, Dept Elect & Comp Engn, Windsor, ON N9B 3P4, Canada
[3] Louisiana State Univ, Dept Elect Comp Engn, Baton Rouge, LA 70803 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 01期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Laplace equations; Eigenvalues and eigenfunctions; Observability; Time-varying systems; State feedback; Topology; Protocols; Discrete-time multiagent systems (MASs); state consensus; time-varying graph (TVG); NETWORKS; AGENTS;
D O I：
10.1109/TAC.2020.2979750
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the state consensus problem for linear shift-invariant discrete-time homogeneous multiagent systems (MASs) over time-varying graphs. A novel approach based on the small gain theorem is proposed to design the consensus control protocols for both neutrally stable and neutrally unstable MASs. It is shown that the state consensus can be achieved for neutrally stable MASs under the uniform observability condition; for neutrally unstable MASs, the state consensus entails more than the uniform observability. Two numerical examples are worked out to illustrate our consensus results.
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页码：346 / 353
页数：8
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