Consensus in Asynchronous Multiagent Systems. III. Constructive Stability and Stabilizability
- Authors: Kozyakin V.S.1, Kuznetsov N.A.2,3, Chebotarev P.Y.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 6 (2019)
- Pages: 989-1015
- Section: Reviews
- URL: https://journals.rcsi.science/0005-1179/article/view/151403
- DOI: https://doi.org/10.1134/S0005117919060018
- ID: 151403
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Abstract
We describe certain classes of linear asynchronous multi-agent systems in discrete time for which the stability problem allows for a constructive solution. We also present a general analytic approach to constructing numerical characteristics similar to the generalized spectral radius in stability theory, which would provide an opportunity to analyze the stabilizability of controlled multi-agent systems. This work completes our survey “Consensus in Asynchronous Multi-Agent Systems,” whose first two parts have been published in [1, 2].
About the authors
V. S. Kozyakin
Kharkevich Institute for Information Transmission Problems
Author for correspondence.
Email: kozyakin@iitp.ru
Russian Federation, 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
Moscow Institute of Physics and Technology; Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: pavel4e@gmail.com
Russian Federation, Moscow; Moscow
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