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arXiv · 1703.08049

Minimal time problem for discrete crowd models with a localized vector field

Michel Duprez·Morgan Morancey·Francesco Rossi
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Abstract

In this work, we study the minimal time to steer a given crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed control set. We characterize the minimal time for a discrete crowd model, both for exact and approximate controllability. This leads to an algorithm that computes the control and the minimal time. We finally present a numerical simulation.

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Michel Duprez, Morgan Morancey, Francesco Rossi. 2017-03-23. Minimal time problem for discrete crowd models with a localized vector field. https://arxiv.org/abs/1703.08049

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