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In the present paper, we treat the problem of learning averages out of a set of symmetric positive-definite matrices (SPDMs). We discuss a possible learning technique based on the differential geometrical properties of the SPDM-manifold which was recently shown to possess a Lie-group structure under appropriate group definition. We first recall some relevant notions from differential geometry, mainly...
In this paper, the estimation problem of the solution matrix about the perturbed continuous time algebraic Lyapunov equation (PCTALE) is discussed. The estimation of upper and lower bounds of the solution matrix to the equation under a certain uncertainty assumption are presented by applying the calculation properties of matrix and some inequalities, and the estimation results are given by continuous...
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