Instantaneous Closed Loop Control of the Navier-Stokes System

Instantaneous control is applied to the control of the instationary Navier--Stokes system. This control technique is closely related to receding horizon control and allows for an interpretation as suboptimal closed loop controller, whose parameters may be adjusted so as to stabilize the nonlinear equation under consideration. Besides stability analysis for the distributed control case, numerical examples for the continuous and discrete-in-time control laws are presented.