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
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10.1512/iumj.2005.54.2663
10.1512/iumj.2005.54.2663
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Indiana Univ. Math. J. 54 (2005) 1521 - 1546
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