In this paper, a discrete time-varying model of sensors network is considered. The external input belongs to the class of sequences of random vectors with bounded anisotropy of the extended vector. The anisotropy-based analysis of the system includes the analysis for the multiplicative noise systems and the boundedness criterion of the anisotropic norm. The considering problem concerns the selection of the estimator, which one guarantees the boundedness anisotropic norm. It is demonstrated how to reduce considering problem to convex optimization one