In this paper we discuss some aspects related to feed-back control of detached flows. We use a very crude model, a single point vortex of variable intensity, to describe the massive separation region past a cusp followed by a smooth cavity. Then we investigate the controllability and the observabilty of the system by standard nonlinear control techniques. We concentrate on the possibility of controlling such a model by a feed-back controller and define the conditions under which the vortex can be asymptotically stabilized about unstable equilibria.

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