Applications of Quadratic Stochastic Operators to Nonlinear Consensus Problems
Historically, an idea of reaching consensus through repeated averaging was introduced by DeGroot for a structured time-invariant and synchronous environment. Since that time, the consensus which is the most ubiquitous phenomenon of multiagent systems becomes popular in the various scientific fields...
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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.278 (4), p.661-674 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
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| creator | Saburov, M. Saburov, Kh |
| description | Historically, an idea of reaching consensus through repeated averaging was introduced by DeGroot for a structured time-invariant and synchronous environment. Since that time, the consensus which is the most ubiquitous phenomenon of multiagent systems becomes popular in the various scientific fields such as biology, physics, control engineering, and social science. In this paper, we overview the recent development of applications of quadratic stochastic operators on nonlinear consensus problems. We also present some refinement and improvement of the previous results. |
| doi_str_mv | 10.1007/s10958-024-06947-y |
| format | Article |
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| ispartof | Journal of mathematical sciences (New York, N.Y.), 2024, Vol.278 (4), p.661-674 |
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| subjects | Mathematics Mathematics and Statistics Multiagent systems Operators |
| title | Applications of Quadratic Stochastic Operators to Nonlinear Consensus Problems |
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