  In this work we analyze and bound the effect of modeling errors on the
stabilization of pure states or subspaces for quantum stochastic evolutions.
Different approaches are used for open-loop and feedback control protocols. For
both, we highlight the key role of dynamical invariance of the target: if the
perturbation preserves invariance, it is possible to prove that it also
preserves its attractivity, under some additional assumptions. In addition, we
prove boundedness in mean of the solutions of perturbed systems under open-loop
protocols. For the feedback strategies, in the general case without assumptions
on invariance, we provide bounds on the perturbation effect in expectation and
in probability, as well as specific bounds for non-demolition nominal systems.
