Finite-horizon Anisotropic Estimator Design in Sensor Networks

Anisotropy-Based Estimation for Sensor Network with Non-Centered Disturbance

“…To obtain sufficient conditions of anisotropic norm boundedness for the systems with multiplicative noises and noncentered disturbances, let us firstly discuss some results of [16,[21][22][23].…”

“…All matrices A k , B k , M k , N k , C j,k , D j,k , j = 1, n are known for all time instants and have appropriate dimensions. The communication scheme is defined by means of an adjacency matrix a with conditions a ji 0, n ∑ i=1 a ji = 1, a jj = max i a ji ; see [21] for more details.…”

“…After that, the anisotropy-based analysis yields a solution of the estimation problem for time-varying sensor networks. The case of network systems was studied in [20], and the case of dropouts with corrections was considered in [21]. Both papers contained a convex optimization approach to calculate the minimal value of xanisotropic norm upper bound for an input-to-estimation error system.…”