Title: Feedback stabilization of periodic solutions to nonlinear parabolic-like evolution systems

Authors: Viorel Barbu and G. Wang

Issue: Volume 54 (2005), Issue 6, 1521-1546

Abstract: 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.