Exponential stabilization of the linearized Navier–Stokes equation by pointwise feedback noise controllers

We address the problem of exponential stabilization in probability of the linearized Navier–Stokes equations in an equilibrium point. This is done by designing a linear stochastic feedback controller with support in a point or on a discrete set of points of the domain. This controller consists of a steady-state impulse component with support in a finite set of points modulated by an unsteady feedback noise controller.