Boundary local null-controllability of the Kuramoto-Sivashinsky equation - Archive ouverte HAL
Article Dans Une Revue Mathematics of Control, Signals, and Systems Année : 2017

Boundary local null-controllability of the Kuramoto-Sivashinsky equation

Résumé

We prove that the Kuramoto-Sivashinsky equation is locally controllable in 1D and in 2D with one boundary control. Our method consists in combining several general results in order to reduce the null-controllability of this nonlinear parabolic equation to the exact controllability of a linear beam or plate system. This improves known results on the controllability of Kuramoto-Sivashinsky equation and gives a general strategy to handle the null-controllability of nonlinear parabolic systems.
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Dates et versions

hal-01373201 , version 1 (28-09-2016)

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Takéo Takahashi. Boundary local null-controllability of the Kuramoto-Sivashinsky equation. Mathematics of Control, Signals, and Systems, 2017, 29 (2), ⟨10.1007/s00498-016-0182-5⟩. ⟨hal-01373201⟩
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