Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System

Let $A:\mathcal{D}(A)\to\mathcal{X}$ be the generator of an analytic semigroup and $B:\mathcal{V}\to[\mathcal{D}(A^*)]'$ a relatively bounded control operator. In this paper, we consider the stabilization of the system $y'=Ay+Bu$, where u is the linear combination of a family $(v_1,\ldots,v_K)$. Our... View More