Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws
Résumé
We study the exponential stabilization problem for a nonlinear Korteweg-de Vries equation on bounded interval in cases where the linearized control system is not controllable. The system has Dirichlet boundary conditions at the end-points of the interval, a Neumann nonhomogeneous boundary condition at the right end-point which is the control. We build a class of time-varying feedback laws for which the solutions of the closed-loop systems with small initial data decay exponentially to 0. We present also results on the well-posedness of the closed-loop systems for general time-varying feedback laws.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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