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arXiv · 2208.05281

Optimal consensus control models on the sphere

Hui Huang·Hansol Park
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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.

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Hui Huang, Hansol Park. 2022-08-10. Optimal consensus control models on the sphere. https://arxiv.org/abs/2208.05281

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