In the context of the anisotropic control theory vanishing the system α-anisotropic norm corresponds with H2-theory, while its going to infinity, with H∞-theory. Meanwhile, this definition considerably involves just the magnitude of α, the random vector anisotropy (the mean random vectors sequence anisotropy) that characterizes the uncertainty degree. Thus, proper selection the random vector anisotropy magnitude to determine the system α-anisotropic norm is of importance. Accordingly, the paper presents an approach to constructing a normalization procedure of the anisotropy magnitude as a mapping of the positive semiaxis in the unit interval.