Abstract
This article provides a broad overview of the basic elements of consensus dynamics. It describes the classical Perron-Frobenius theorem that provides the main theoretical tool to study the convergence properties of such systems. Classes of consensus models that are treated include simple random walks on grid-like graphs and in graphs with a bottleneck, consensus on graphs with intermittently randomly appearing edges between nodes (gossip models), and models with nodes that do not modify their state over time (stubborn agent models). Application to cooperative control, sensor networks, and socio-economic models are mentioned.
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Acknowledgements
This work was partially supported by MIUR grant Dipartimenti di Eccellenza 2018-2022 [CUP: E11G18000350001]
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Fagnani, F. (2020). Consensus of Complex Multi-agent Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_136-2
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_136-2
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Chapter history
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Latest
Consensus of Complex Multi-agent Systems- Published:
- 14 October 2020
DOI: https://doi.org/10.1007/978-1-4471-5102-9_136-2
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Original
Consensus of Complex Multi-agent Systems- Published:
- 03 April 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_136-1