Consensus in Asynchronous Multiagent Systems. I. Asynchronous Consensus Models

被引:4
|
作者
Kozyakin, V. S. [1 ,2 ]
Kuznetsov, N. A. [2 ,3 ]
Chebotarev, P. Yu. [2 ,3 ,4 ]
机构
[1] Russian Acad Sci, Kharkevich Inst Informat Transmiss Problems, Moscow, Russia
[2] Russian Acad Sci, Kotelnikov Inst Radioengn & Elect, Moscow, Russia
[3] Moscow Inst Phys & Technol, Moscow, Russia
[4] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
asynchronous multiagent systems; consensus; stability; stabilizability; Markov systems; matrix products; joint spectral radius; EVENT-TRIGGERED CONSENSUS; STABILITY; TRACKING;
D O I
10.1134/S0005117919040015
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 present a survey of results on models of consensus in asynchronous multiagent systems with discrete and continuous time. We consider mathematical methods developed over recent years, which are used in the analysis of stability, stabilization, and consensus problems for linear multiagent systems with discrete time. These methods are based on the idea of using the notion of joint/generalized spectral radius of a set of matrices to analyze the rate of convergence of matrix products with factors drawn from certain sets of matrices with special properties.
引用
收藏
页码:593 / 623
页数:31
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