Abstract:We study the stabilization of solutions to a 2d fluid-structure system by a feedback control law acting on the acceleration of the structure. The structure is described by a finite number of parameters. The modelling of this system and the existence of strong solutions have been previously studied in [11]. We consider an unstable stationary solution to the problem. We assume a unique continuation property for the eigenvectors of the adjoint system. Under this assumption, the nonlinear feedback control that we … Show more
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