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 steady-state impulse component with support in a finite set of points modulated by an unsteady feedback noise controller.