  This paper provides a class of feedback controllers that guarantee global
stability of quantum angular momentum systems. The systems are in general
finite dimensions and the stability is around an assigned eigenstate of
observables with a specific form. It is realized by employing the control law
which was proposed by Mirrahimi & van Handel. The class of stabilizing
controllers is parameterized by a switching parameter and we show that the
parameter between 0 and 1/N assures the stability, where N is the dimension of
the quantum systems.
