Email this article Consensus in Asynchronous Multiagent Systems. I. Asynchronous Consensus Models
- Authors: Kozyakin V.S.1,2, Kuznetsov N.A.2,3, Chebotarev P.Y.2,3,4
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Affiliations:
- Kharkevich Institute for Information Transmission Problems
- Kotelnikov Institute of Radioengineering and Electronics
- Moscow Institute of Physics and Technology
- Trapeznikov Institute of Control Sciences
- Issue: Vol 80, No 4 (2019)
- Pages: 593-623
- Section: Reviews
- URL: https://journals.rcsi.science/0005-1179/article/view/151346
- DOI: https://doi.org/10.1134/S0005117919040015
- ID: 151346
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Abstract
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.
About the authors
V. S. Kozyakin
Kharkevich Institute for Information Transmission Problems; Kotelnikov Institute of Radioengineering and Electronics
Author for correspondence.
Email: kozyakin@iitp.ru
Russian Federation, Moscow; Moscow
N. A. Kuznetsov
Kotelnikov Institute of Radioengineering and Electronics; Moscow Institute of Physics and Technology
Author for correspondence.
Email: kuznetsov@cplire.ru
Russian Federation, Moscow; Moscow
P. Yu. Chebotarev
Kotelnikov Institute of Radioengineering and Electronics; Moscow Institute of Physics and Technology; Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: pavel4e@gmail.com
Russian Federation, Moscow; Moscow; Moscow
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