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In a companion ACC '06 paper we present a boundary control law, designed using the backstepping method, that stabilizes the 3D Navier-Stokes system linearized around the much studied Poiseuille flow profile. This control law employs three controllers that actuate solely along one boundary. The controller that acts in the wall normal direction prepares the system for the backstepping method, while...
We present an extension from 2D to 3D of a boundary control law which stabilizes the parabolic profile of an infinite channel flow. In this 3D case, we include an additional controller in the spanwise direction which, similar to the streamwise and wall normal velocity controllers, actuates solely along one boundary. The controller that acts in the wall normal direction transforms the system into a...
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