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Avtomat. i Telemekh., 2019, Issue 6, Pages 3–27 (Mi at15290)  

Surveys

Consensus in asynchronous multiagent systems. III. Constructive stability and stabilizability

V. S. Kozyakina, N. A. Kuznetsovbc, P. Yu. Chebotarevcd

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Moscow, Russia
c Moscow Institute of Physics and Technology, Moscow, Russia
d Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

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].

Keywords: asynchronous multi-agent systems, consensus, stability, stabilizability, Markov systems, matrix products, joint spectral radius.

Funding Agency Grant Number
Russian Science Foundation 19-19-00673
The work of the third author was supported by the Russian Science Foundation, project no. 19-19-00673 provided by the Trapeznikov Institute of Control Sciences of the RAS.


DOI: https://doi.org/10.1134/S0005231019060011

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English version:
Automation and Remote Control, 2019, 80:6, 989–1015

Bibliographic databases:

Document Type: Article

Received: 17.09.2018
Revised: 22.10.2018
Accepted: 08.11.2018

Citation: V. S. Kozyakin, N. A. Kuznetsov, P. Yu. Chebotarev, “Consensus in asynchronous multiagent systems. III. Constructive stability and stabilizability”, Avtomat. i Telemekh., 2019, no. 6, 3–27; Autom. Remote Control, 80:6 (2019), 989–1015

Citation in format AMSBIB
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