In the context of the anisotropic control theory (I.G. Vladimirov, A.P. Kurdjukov, A.V. Semyonov, Anisotropy of Signals and the Entropy of Linear Stationary Systems, Doklady Math., 1995, vol. 51, pp. 388–390), vanishing the system α - anisotropic norm corresponds with H -theory, while going the norm to infinity, with H -theory. Meanwhile, this definition considerably involves just the magnitude of α, the mean random vectors sequence anisotropy that characterizes the uncertainty degree. Thus, proper selection of 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. Within the context, the main attention is paid to another definition of the random vector anisotropy, which is based on Tsallis divergence of the order ½.