Structure and Classification Theorems of Finite-Dimensional Exact Estimation Algebras

Abstract

Estimation algebra turns out to be a crucial concept in the investigation of finite-dimensional nonlinear filters. In an earlier paper by the authors, a necessary and sufficient algebraic condition was derived for an exact estimation algebra to be finite-dimensional. In this paper, the investigation of the properties of finite-dimensional exact estimation algebras is continued, and some structure and partial classification theorems for such algebras are proved.