Feedback stabilization of periodic solutions to nonlinear parabolic-like evolution systems Viorel BarbuG. Wang 76D0535B4035Q30periodic solutionperiodic mapNavier-Stokes equationRiccati equations This work is concerned with the stabilization of periodic solutions to semilinear evolution equations of parabolic type $y' + Ay + B(t,y) = Du$. The main result amounts to saying that under appropriate conditions on the range of $D$ any smooth periodic solution is stabilizable by a linear feedback controller provided by the linearized control system. Applications to Navier-Stokes and semilinear parabolic equations are given. Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2663 10.1512/iumj.2005.54.2663 en Indiana Univ. Math. J. 54 (2005) 1521 - 1546 state-of-the-art mathematics http://iumj.org/access/