Consensus in Asynchronous Multiagent Systems. III. Constructive Stability and Stabilizability


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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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