
Accession Number : ADP002372
Title : A Minimization Method for Engineering Estimation,
Corporate Author : LOCKHEED MISSILES AND SPACE CO INC SUNNYVALE CA
Personal Author(s) : Dhar,S.
Report Date : MAY 1983
Pagination or Media Count : 5
Abstract : This paper obtains a convergencecriterion for optimal estimation by constructing a mathematical theory of ordering, based upon topological and algebraic concepts. This theory provides the model for minimizing the variance of error associated with the estimators of a true state. Thus it is a supplement to the classical Kalman filtering approach. The theory is first described in mathematical terms, as an ordering structure consisting of these entities: a nonempty set of estimators, a binary relation of comparison between estimators, and a closed binary operation that composes the estimators in some prescribed fashion. A triple consisting of these entities of an ordering structure, if and only if the axioms of weak order, associativity, monotonocity, and Archimedean property are satisfied. A weak representation theorem is stated regarding the existence of an orderpreserving realvalued function on the set of estimators.
Descriptors : *Algebra, *Estimates, *Filters, *Topology, *Mathematical logic, *Symposia, Engineering, Kalman filtering, Errors, Low strength, Algorithms, Variables, Operation, Theorems
Distribution Statement : APPROVED FOR PUBLIC RELEASE