Anisotropy-based analysis for case of nonzero-mean input disturbance

In the created in the 90th anisotropy-based control theory the sequence of Gaussian random vectors with zero mean and certain mean anisotropy level was accepted as input perturbations acting on a linear system. This paper introduces the concepts of mean anisotropy of the sequence with nonzero mean and anisotropic norm of the system with given input. The problem of anisotropy-based analysis in frequency domain is considered and the difference is shown between classical formulas for computing mean anisotropy and anisotropic norm under the zero mean and the new formulas.