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Pré-Publication, Document De Travail Année : 2019

Finite-time internal stabilization of a linear 1-D transport equation

Résumé

We consider a 1-D linear transport equation on the interval (0, L), with an internal scalar control. We prove that if the system is controllable in a periodic Sobolev space of order greater than 1, then the system can be stabilized in finite time, and we give an explicit feedback law.
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Dates et versions

hal-01980349 , version 1 (14-01-2019)
hal-01980349 , version 2 (18-11-2019)

Identifiants

  • HAL Id : hal-01980349 , version 1

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Christophe Zhang. Finite-time internal stabilization of a linear 1-D transport equation. 2019. ⟨hal-01980349v1⟩
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