Applications of quadratic stochastic operators to nonlinear consensus problems
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 110-126
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Historically, the idea of reaching consensus through repeated averaging was introduced by De Groot for a structured time-invariant and synchronous environment. Since that time, the consensus, which is the most ubiquitous phenomenon of multi-agent systems, becomes popular in the various scientific fields such as biology, physics, control engineering and social science. In this paper, we give an overview of the recent development of applications of quadratic stochastic operators to nonlinear consensus problems. We also present some refinement and improvement of the previous results.
@article{CMFD_2022_68_1_a8,
author = {M. Saburov and Kh. Saburov},
title = {Applications of quadratic stochastic operators to nonlinear consensus problems},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {110--126},
publisher = {mathdoc},
volume = {68},
number = {1},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a8/}
}
TY - JOUR AU - M. Saburov AU - Kh. Saburov TI - Applications of quadratic stochastic operators to nonlinear consensus problems JO - Contemporary Mathematics. Fundamental Directions PY - 2022 SP - 110 EP - 126 VL - 68 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a8/ LA - ru ID - CMFD_2022_68_1_a8 ER -
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M. Saburov; Kh. Saburov. Applications of quadratic stochastic operators to nonlinear consensus problems. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 68 (2022) no. 1, pp. 110-126. http://geodesic.mathdoc.fr/item/CMFD_2022_68_1_a8/