Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius

被引：0
|
作者：
V. S. Kozyakin
N. A. Kuznetsov
P. Yu. Chebotarev
机构：
[1] Russian Academy of Sciences,Kharkevich Institute for Information Transmission Problems
[2] Russian Academy of Sciences,Kotelnikov Institute of Radioengineering and Electronics
[3] Moscow Institute of Physics and Technology,Trapeznikov Institute of Control Sciences
[4] Russian Academy of Sciences,undefined
来源：
Automation and Remote Control | 2019年 / 80卷
关键词：
asynchronous multiagent systems; consensus; stability; stabilizability; Markov systems; matrix products; joint spectral radius;
D O I：
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中图分类号：
学科分类号：
摘要：
We describe mathematical methods for analyzing the stability, stabilizability and consensus of linear multiagent systems with discrete time. These methods are based on the idea of using the notion of joint/generalized spectral radius of matrix sets to analyze the rate of convergence of matrix products with factors from the sets of matrices with special properties. This is a continuation of the survey by the same authors named “Consensus in Asynchronous Multiagent Systems”; the first part was published in [1].
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页码：791 / 812
页数：21
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