Email this article Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius
- Authors: Kozyakin V.S.1,2, Kuznetsov N.A.2,3, Chebotarev P.Y.4,2,3
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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 5 (2019)
- Pages: 791-812
- Section: Reviews
- URL: https://journals.rcsi.science/0005-1179/article/view/151376
- DOI: https://doi.org/10.1134/S0005117919050011
- ID: 151376
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Abstract
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].
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
Trapeznikov Institute of Control Sciences; Kotelnikov Institute of Radioengineering and Electronics; Moscow Institute of Physics and Technology
Author for correspondence.
Email: pavel4e@gmail.com
Russian Federation, Moscow; Moscow; Moscow
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