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Results in Control and Optimization
Article . 2023 . Peer-reviewed
License: CC BY NC ND
Data sources: Crossref
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SSRN Electronic Journal
Article . 2022 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
Data sources: Datacite
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Optimal Consensus Control Models on the Sphere

Authors: Hui Huang; Hansol Park;

Optimal Consensus Control Models on the Sphere

Abstract

In this paper, we investigate the consensus models on the sphere with control signals, where both the first and second order systems are considered. We provide the existence of the optimal control-trajectory pair and derive the first order optimality condition taking the form of the Pontryagin Minimum Principle. Numeric simulations are also presented to show that the obtained optimal control can help to accelerate the process of reaching a consensus.

Related Organizations
Keywords

T57-57.97, Applied mathematics. Quantitative methods, Swarm sphere model, Dynamical Systems (math.DS), Synchronization, Optimal control, Aggregation, Optimization and Control (math.OC), Pontryagin Minimum Principle, FOS: Mathematics, Mathematics - Dynamical Systems, Mathematics - Optimization and Control

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold