Controllability of Damped Multidimensional Rigid Body
In our recent work results on controllability of
Navier-Stokes equation on a 2D domain by means of low-dimensional controlled forcing have been obtained. The formulation of the controllability criteria turned to be very sensitive to the choice of 'controlled directions" in their relation to the domain.
Here we discuss similar issue for a finite-dimensional analogue of
Navier-Stokes equation, Euler-Frahm equation for
rotation of multidimensional rigid body under damping. We
concentrate on a choice of minimal (saturating) set of controlled
directions, which guarantee controllability for a generic inertia tensor.