Minimal time problem for crowd models with a localized vector field

Abstract : In this work, we study the minimal time to steer a crowd to a desired configuration. The control is a vector field, representing a perturbation of the crowd displacement, localized on a fixed control set. We give a characterization of the minimal time both for discrete and continuous crowds. We show that the minimal time to steer one initial configuration to another is related to the condition of having enough mass in the control region to feed the desired final configuration. The construction of the control is explicit, providing a numerical algorithm for computing it. We then provide some examples of numerical simulations.
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https://hal.archives-ouvertes.fr/hal-01676679
Contributeur : Michel Duprez <>
Soumis le : vendredi 5 janvier 2018 - 21:11:41
Dernière modification le : vendredi 23 mars 2018 - 11:56:04

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MinTimeTransport.pdf
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  • HAL Id : hal-01676679, version 1

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Michel Duprez, Morgan Morancey, Francesco Rossi. Minimal time problem for crowd models with a localized vector field. 2018. 〈hal-01676679〉

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