  The exact and stable evolutions of generalized coherent states (GCS) for
quantum systems are considered by making use of the time-dependent integrals of
motion method and of the Klauder approach to the relationship between quantum
and classical mechanics. It is shown that one can construct for any quantum
system overcomplete family of states (OFS), related to the unitary
representations of the Lie group G by means of integral of motion generators,
and the possibility of using this group as a dynamical symmetry group is
pointed out. The relation of the OFS with quantum measurement theory is also
established.
