Null controllability of a linearized Korteweg-de Vries equation by backstepping approach - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Control and Optimization Year : 2019

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

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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Dates and versions

hal-01468750 , version 1 (15-02-2017)
hal-01468750 , version 2 (04-09-2018)

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Shengquan Xiang. Null controllability of a linearized Korteweg-de Vries equation by backstepping approach. SIAM Journal on Control and Optimization, 2019, ⟨10.1137/17M1115253⟩. ⟨hal-01468750v2⟩
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