  In this study we focused on the linear Kawahara equation in a bounded domain,
employing two boundary controls. The controllability of this system has been
previously demonstrated over the past decade using the Hilbert uniqueness
method which involves proving an observability inequality, in general,
demonstrated via Carleman estimates. Here, we extend this understanding by
achieving the exact controllability within a space of analytic functions,
employing the flatness approach which is a new approach for higher-order
dispersive systems.
