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Pré-Publication, Document De Travail Année : 2020

Nonnegative boundary control of 1D linear heat equations

Résumé

We consider the controllability of a one dimensional heat equation with nonnegative boundary controls. Despite the controllability in any positive time of this system, the unilateral nonnegativity control constraint causes a positive minimal controllability time. In this article, it is proved that at the minimal time, there exists a nonnegative control in the space of Radon measures, which consists of a countable sum of Dirac impulses.
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Dates et versions

hal-02613883 , version 1 (20-05-2020)
hal-02613883 , version 2 (04-01-2021)

Identifiants

  • HAL Id : hal-02613883 , version 1

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Jérôme Lohéac. Nonnegative boundary control of 1D linear heat equations. 2020. ⟨hal-02613883v1⟩
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