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Normal Feedback Stabilization of Periodic Flows in a Two-Dimensional Channel

Author

Listed:
  • Ionuţ Munteanu

    (“O. Mayer” Institute of Mathematics of the Romanian Academy
    “Al.I. Cuza” University)

Abstract

We consider a two-dimensional incompressible channel flow with periodic condition along one axis. We stabilize the linearized system by a boundary feedback controller with vertical velocity observation, which acts on the normal component of the velocity only. The stability is achieved without any a priori condition on the viscosity coefficient, that is, on the Reynolds number.

Suggested Citation

  • Ionuţ Munteanu, 2012. "Normal Feedback Stabilization of Periodic Flows in a Two-Dimensional Channel," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 413-438, February.
    • Handle: RePEc:spr:joptap:v:152:y:2012:i:2:d:10.1007_s10957-011-9910-7
    DOI: 10.1007/s10957-011-9910-7
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    Cited by:

    1. Hanbing Liu, 2012. "Boundary Optimal Control of Time-Periodic Stokes-Oseen Flows," Journal of Optimization Theory and Applications, Springer, vol. 154(3), pages 1015-1035, September.

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