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Rapid exponential stabilization for a linear Korteweg-de Vries equation

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  • We consider a control system for a Korteweg-de Vries equation with homogeneous Dirichlet boundary conditions and Neumann boundary control. We address the rapid exponential stabilization problem. More precisely, we build some feedback laws forcing the solutions of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates. We also perform some numerical computations in order to illustrate this theoretical result.
    Mathematics Subject Classification: Primary: 93D15, 35Q53; Secondary: 93B05.


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