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Null controllability of a linearized Korteweg-de Vries equation by backstepping approach

Authors
  • Xiang, Shengquan
Publication Date
Apr 25, 2019
Source
HAL-INRIA
Keywords
Language
English
License
Unknown
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Abstract

This paper deals with the controllability problem of a linearized Korteweg-de Vries equation on bounded interval. The system has a homogeneous Dirichlet boundary condition and a homogeneous Neumann boundary condition at the right end-points of the interval, a non homogeneous Dirichlet boundary condition at the left end-point which is the control. We prove the null controllability by using a backstepping approach, a method usually used to handle stabilization problems.

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