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

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

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Article ID: iaor2012460
Volume: 152
Issue: 2
Start Page Number: 413
End Page Number: 438
Publication Date: Feb 2012
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: optimization
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.

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