Abstract—
This article presents graph theory-based approaches to self-regulation of networks with adaptive network topology. These approaches are limited to networks with no node mobility—peer-to-peer and heterogeneous sensor networks, as well as industrial networks on the example of Smart Grid smart energy consumption networks. For each network type, a generalized target function is described, conditions for self-regulation are formulated, and a formal description of the process of self-regulation is provided.



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Funding
This study was supported by the Russian Science Foundation, project no. 22-21-20008, https://rscf.ru/project/22-21-20008/, and the Saint Petersburg Science Foundation, contract no. 61/220 dated April 15, 2022.
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Translated by A. Ovchinnikova
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Pavlenko, E.Y., Pakhomov, M.A. Graph-Based Self-Regulation for Different Types of Networks with Adaptive Topology. Aut. Control Comp. Sci. 57, 1055–1062 (2023). https://doi.org/10.3103/S0146411623080217
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DOI: https://doi.org/10.3103/S0146411623080217