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

Christophe Zhang 1, 2
1 CaGE - Control And GEometry
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : 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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https://hal.archives-ouvertes.fr/hal-01980349
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Submitted on : Monday, November 18, 2019 - 5:03:26 PM
Last modification on : Monday, December 14, 2020 - 5:38:23 PM

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  • HAL Id : hal-01980349, version 2

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Christophe Zhang. Finite-time internal stabilization of a linear 1-D transport equation. 2019. ⟨hal-01980349v2⟩

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