Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Evolution Equations and Control Theory Year : 2020

Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network

Abstract

Controllability of coupled systems is a complex issue depending on the coupling conditions and the equations themselves. Roughly speaking, the main challenge is controlling a system with less inputs than equations. In this paper this is successfully done for a system of Korteweg-de Vries equations posed on an oriented tree shaped network. The couplings and the controls appear only on boundary conditions.
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Dates and versions

hal-02137907 , version 1 (23-05-2019)
hal-02137907 , version 2 (10-09-2020)

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Eduardo Cerpa, Emmanuelle Crépeau, Julie Valein. Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network. Evolution Equations and Control Theory, 2020, 9 (3), pp.673-692. ⟨10.3934/eect.2020028⟩. ⟨hal-02137907v2⟩
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